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Finding the Fourth Proportional to 10,387.28, 14,335 and 6,847.94

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Solution

The fourth proportional to 10,387.28, 14,335 and 6,847.94 is: 9,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.28 : 14,335 = 6,847.94 : x
  2. Step 2: Convert to fraction form
    10,387.28/14,335 = 6,847.94/x
  3. Step 3: Cross multiply
    10,387.28x = 14,335 × 6,847.94
  4. Step 4: Simplify right side
    10,387.28x = 98,165,219.90
  5. Step 5: Solve for x
    x = 98,165,219.90/10,387.28
  6. Step 6: Final answer
    x = 9,450.52

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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.