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Finding the Fourth Proportional to 12,715.80, 19,056.96 and 6,129.96

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Solution

The fourth proportional to 12,715.80, 19,056.96 and 6,129.96 is: 9,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.80 : 19,056.96 = 6,129.96 : x
  2. Step 2: Convert to fraction form
    12,715.80/19,056.96 = 6,129.96/x
  3. Step 3: Cross multiply
    12,715.80x = 19,056.96 × 6,129.96
  4. Step 4: Simplify right side
    12,715.80x = 116,818,402.52
  5. Step 5: Solve for x
    x = 116,818,402.52/12,715.80
  6. Step 6: Final answer
    x = 9,186.87

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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.