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Finding the Fourth Proportional to 8,431.49, 11,635.49 and 4,654.69

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Solution

The fourth proportional to 8,431.49, 11,635.49 and 4,654.69 is: 6,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.49 : 11,635.49 = 4,654.69 : x
  2. Step 2: Convert to fraction form
    8,431.49/11,635.49 = 4,654.69/x
  3. Step 3: Cross multiply
    8,431.49x = 11,635.49 × 4,654.69
  4. Step 4: Simplify right side
    8,431.49x = 54,159,598.95
  5. Step 5: Solve for x
    x = 54,159,598.95/8,431.49
  6. Step 6: Final answer
    x = 6,423.49

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Half scale
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Double scale
Find fourth proportional to 8,432.49, 11,636.87 and 4,655.69
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.