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Finding the Fourth Proportional to 22,577, 31,156.32 and 12,641

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Solution

The fourth proportional to 22,577, 31,156.32 and 12,641 is: 17,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577 : 31,156.32 = 12,641 : x
  2. Step 2: Convert to fraction form
    22,577/31,156.32 = 12,641/x
  3. Step 3: Cross multiply
    22,577x = 31,156.32 × 12,641
  4. Step 4: Simplify right side
    22,577x = 393,847,041.12
  5. Step 5: Solve for x
    x = 393,847,041.12/22,577
  6. Step 6: Final answer
    x = 17,444.61

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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.