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Finding the Fourth Proportional to 52,838.56, 79,288.80 and 19,581.76

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Solution

The fourth proportional to 52,838.56, 79,288.80 and 19,581.76 is: 29,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,838.56 : 79,288.80 = 19,581.76 : x
  2. Step 2: Convert to fraction form
    52,838.56/79,288.80 = 19,581.76/x
  3. Step 3: Cross multiply
    52,838.56x = 79,288.80 × 19,581.76
  4. Step 4: Simplify right side
    52,838.56x = 1,552,614,252.29
  5. Step 5: Solve for x
    x = 1,552,614,252.29/52,838.56
  6. Step 6: Final answer
    x = 29,384.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.