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Finding the Fourth Proportional to 6,646.76, 9,972.40 and 4,178.69

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Solution

The fourth proportional to 6,646.76, 9,972.40 and 4,178.69 is: 6,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.76 : 9,972.40 = 4,178.69 : x
  2. Step 2: Convert to fraction form
    6,646.76/9,972.40 = 4,178.69/x
  3. Step 3: Cross multiply
    6,646.76x = 9,972.40 × 4,178.69
  4. Step 4: Simplify right side
    6,646.76x = 41,671,518.29
  5. Step 5: Solve for x
    x = 41,671,518.29/6,646.76
  6. Step 6: Final answer
    x = 6,269.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.