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Finding the Fourth Proportional to 22,572, 31,149.36 and 12,636

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Solution

The fourth proportional to 22,572, 31,149.36 and 12,636 is: 17,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572 : 31,149.36 = 12,636 : x
  2. Step 2: Convert to fraction form
    22,572/31,149.36 = 12,636/x
  3. Step 3: Cross multiply
    22,572x = 31,149.36 × 12,636
  4. Step 4: Simplify right side
    22,572x = 393,603,312.96
  5. Step 5: Solve for x
    x = 393,603,312.96/22,572
  6. Step 6: Final answer
    x = 17,437.68

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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.