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Finding the Fourth Proportional to 14,068.42, 19,414.18 and 7,780.79

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Solution

The fourth proportional to 14,068.42, 19,414.18 and 7,780.79 is: 10,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.42 : 19,414.18 = 7,780.79 : x
  2. Step 2: Convert to fraction form
    14,068.42/19,414.18 = 7,780.79/x
  3. Step 3: Cross multiply
    14,068.42x = 19,414.18 × 7,780.79
  4. Step 4: Simplify right side
    14,068.42x = 151,057,715.86
  5. Step 5: Solve for x
    x = 151,057,715.86/14,068.42
  6. Step 6: Final answer
    x = 10,737.36

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1.5x scale

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.