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Finding the Fourth Proportional to 14,068.60, 19,414.74 and 7,781.02

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Solution

The fourth proportional to 14,068.60, 19,414.74 and 7,781.02 is: 10,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.60 : 19,414.74 = 7,781.02 : x
  2. Step 2: Convert to fraction form
    14,068.60/19,414.74 = 7,781.02/x
  3. Step 3: Cross multiply
    14,068.60x = 19,414.74 × 7,781.02
  4. Step 4: Simplify right side
    14,068.60x = 151,066,480.23
  5. Step 5: Solve for x
    x = 151,066,480.23/14,068.60
  6. Step 6: Final answer
    x = 10,737.85

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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.