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Finding the Fourth Proportional to 15,957, 22,020.66 and 9,668.16

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Solution

The fourth proportional to 15,957, 22,020.66 and 9,668.16 is: 13,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 22,020.66 = 9,668.16 : x
  2. Step 2: Convert to fraction form
    15,957/22,020.66 = 9,668.16/x
  3. Step 3: Cross multiply
    15,957x = 22,020.66 × 9,668.16
  4. Step 4: Simplify right side
    15,957x = 212,899,264.19
  5. Step 5: Solve for x
    x = 212,899,264.19/15,957
  6. Step 6: Final answer
    x = 13,342.06

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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.