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Finding the Fourth Proportional to 15,718.92, 21,695.41 and 9,972.64

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Solution

The fourth proportional to 15,718.92, 21,695.41 and 9,972.64 is: 13,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.92 : 21,695.41 = 9,972.64 : x
  2. Step 2: Convert to fraction form
    15,718.92/21,695.41 = 9,972.64/x
  3. Step 3: Cross multiply
    15,718.92x = 21,695.41 × 9,972.64
  4. Step 4: Simplify right side
    15,718.92x = 216,360,513.58
  5. Step 5: Solve for x
    x = 216,360,513.58/15,718.92
  6. Step 6: Final answer
    x = 13,764.34

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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.