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Finding the Fourth Proportional to 22,359, 30,861.90 and 14,907

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Solution

The fourth proportional to 22,359, 30,861.90 and 14,907 is: 20,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,359 : 30,861.90 = 14,907 : x
  2. Step 2: Convert to fraction form
    22,359/30,861.90 = 14,907/x
  3. Step 3: Cross multiply
    22,359x = 30,861.90 × 14,907
  4. Step 4: Simplify right side
    22,359x = 460,058,343.30
  5. Step 5: Solve for x
    x = 460,058,343.30/22,359
  6. Step 6: Final answer
    x = 20,575.98

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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.