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Finding the Fourth Proportional to 22,755.32, 31,400.40 and 12,683

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Solution

The fourth proportional to 22,755.32, 31,400.40 and 12,683 is: 17,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.32 : 31,400.40 = 12,683 : x
  2. Step 2: Convert to fraction form
    22,755.32/31,400.40 = 12,683/x
  3. Step 3: Cross multiply
    22,755.32x = 31,400.40 × 12,683
  4. Step 4: Simplify right side
    22,755.32x = 398,251,273.20
  5. Step 5: Solve for x
    x = 398,251,273.20/22,755.32
  6. Step 6: Final answer
    x = 17,501.46

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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.