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Finding the Fourth Proportional to 14,197.60, 19,592.90 and 7,910

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Solution

The fourth proportional to 14,197.60, 19,592.90 and 7,910 is: 10,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.60 : 19,592.90 = 7,910 : x
  2. Step 2: Convert to fraction form
    14,197.60/19,592.90 = 7,910/x
  3. Step 3: Cross multiply
    14,197.60x = 19,592.90 × 7,910
  4. Step 4: Simplify right side
    14,197.60x = 154,979,839
  5. Step 5: Solve for x
    x = 154,979,839/14,197.60
  6. Step 6: Final answer
    x = 10,915.92

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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.