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Finding the Fourth Proportional to 10,509.97, 15,718.47 and 9,348.13

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Solution

The fourth proportional to 10,509.97, 15,718.47 and 9,348.13 is: 13,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.97 : 15,718.47 = 9,348.13 : x
  2. Step 2: Convert to fraction form
    10,509.97/15,718.47 = 9,348.13/x
  3. Step 3: Cross multiply
    10,509.97x = 15,718.47 × 9,348.13
  4. Step 4: Simplify right side
    10,509.97x = 146,938,300.96
  5. Step 5: Solve for x
    x = 146,938,300.96/10,509.97
  6. Step 6: Final answer
    x = 13,980.85

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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.