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Finding the Fourth Proportional to 10,490.65, 15,742.61 and 9,505.48

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Solution

The fourth proportional to 10,490.65, 15,742.61 and 9,505.48 is: 14,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.65 : 15,742.61 = 9,505.48 : x
  2. Step 2: Convert to fraction form
    10,490.65/15,742.61 = 9,505.48/x
  3. Step 3: Cross multiply
    10,490.65x = 15,742.61 × 9,505.48
  4. Step 4: Simplify right side
    10,490.65x = 149,641,064.50
  5. Step 5: Solve for x
    x = 149,641,064.50/10,490.65
  6. Step 6: Final answer
    x = 14,264.23

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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.