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Finding the Fourth Proportional to 14,082.61, 19,434 and 7,709.80

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Solution

The fourth proportional to 14,082.61, 19,434 and 7,709.80 is: 10,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.61 : 19,434 = 7,709.80 : x
  2. Step 2: Convert to fraction form
    14,082.61/19,434 = 7,709.80/x
  3. Step 3: Cross multiply
    14,082.61x = 19,434 × 7,709.80
  4. Step 4: Simplify right side
    14,082.61x = 149,832,253.20
  5. Step 5: Solve for x
    x = 149,832,253.20/14,082.61
  6. Step 6: Final answer
    x = 10,639.52

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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.