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Finding the Fourth Proportional to 22,758.71, 31,407.02 and 12,686.93

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Solution

The fourth proportional to 22,758.71, 31,407.02 and 12,686.93 is: 17,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.71 : 31,407.02 = 12,686.93 : x
  2. Step 2: Convert to fraction form
    22,758.71/31,407.02 = 12,686.93/x
  3. Step 3: Cross multiply
    22,758.71x = 31,407.02 × 12,686.93
  4. Step 4: Simplify right side
    22,758.71x = 398,458,812.99
  5. Step 5: Solve for x
    x = 398,458,812.99/22,758.71
  6. Step 6: Final answer
    x = 17,507.97

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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.