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Finding the Fourth Proportional to 25,301, 34,915.74 and 14,123

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Solution

The fourth proportional to 25,301, 34,915.74 and 14,123 is: 19,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301 : 34,915.74 = 14,123 : x
  2. Step 2: Convert to fraction form
    25,301/34,915.74 = 14,123/x
  3. Step 3: Cross multiply
    25,301x = 34,915.74 × 14,123
  4. Step 4: Simplify right side
    25,301x = 493,114,996.02
  5. Step 5: Solve for x
    x = 493,114,996.02/25,301
  6. Step 6: Final answer
    x = 19,489.94

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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.