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Finding the Fourth Proportional to 22,578, 31,157.70 and 12,642

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Solution

The fourth proportional to 22,578, 31,157.70 and 12,642 is: 17,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578 : 31,157.70 = 12,642 : x
  2. Step 2: Convert to fraction form
    22,578/31,157.70 = 12,642/x
  3. Step 3: Cross multiply
    22,578x = 31,157.70 × 12,642
  4. Step 4: Simplify right side
    22,578x = 393,895,643.40
  5. Step 5: Solve for x
    x = 393,895,643.40/22,578
  6. Step 6: Final answer
    x = 17,445.99

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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.