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Finding the Fourth Proportional to 10,234.85, 15,294 and 7,685.32

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Solution

The fourth proportional to 10,234.85, 15,294 and 7,685.32 is: 11,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.85 : 15,294 = 7,685.32 : x
  2. Step 2: Convert to fraction form
    10,234.85/15,294 = 7,685.32/x
  3. Step 3: Cross multiply
    10,234.85x = 15,294 × 7,685.32
  4. Step 4: Simplify right side
    10,234.85x = 117,539,284.08
  5. Step 5: Solve for x
    x = 117,539,284.08/10,234.85
  6. Step 6: Final answer
    x = 11,484.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.