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Finding the Fourth Proportional to 14,068, 19,414.45 and 7,780.38

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Solution

The fourth proportional to 14,068, 19,414.45 and 7,780.38 is: 10,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068 : 19,414.45 = 7,780.38 : x
  2. Step 2: Convert to fraction form
    14,068/19,414.45 = 7,780.38/x
  3. Step 3: Cross multiply
    14,068x = 19,414.45 × 7,780.38
  4. Step 4: Simplify right side
    14,068x = 151,051,798.49
  5. Step 5: Solve for x
    x = 151,051,798.49/14,068
  6. Step 6: Final answer
    x = 10,737.26

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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.