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Finding the Fourth Proportional to 10,391.64, 15,642.98 and 9,320

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Solution

The fourth proportional to 10,391.64, 15,642.98 and 9,320 is: 14,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.64 : 15,642.98 = 9,320 : x
  2. Step 2: Convert to fraction form
    10,391.64/15,642.98 = 9,320/x
  3. Step 3: Cross multiply
    10,391.64x = 15,642.98 × 9,320
  4. Step 4: Simplify right side
    10,391.64x = 145,792,573.60
  5. Step 5: Solve for x
    x = 145,792,573.60/10,391.64
  6. Step 6: Final answer
    x = 14,029.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.