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Finding the Fourth Proportional to 22,643.91, 31,249.57 and 12,572.35

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Solution

The fourth proportional to 22,643.91, 31,249.57 and 12,572.35 is: 17,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.91 : 31,249.57 = 12,572.35 : x
  2. Step 2: Convert to fraction form
    22,643.91/31,249.57 = 12,572.35/x
  3. Step 3: Cross multiply
    22,643.91x = 31,249.57 × 12,572.35
  4. Step 4: Simplify right side
    22,643.91x = 392,880,421.83
  5. Step 5: Solve for x
    x = 392,880,421.83/22,643.91
  6. Step 6: Final answer
    x = 17,350.38

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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.