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Finding the Fourth Proportional to 5,136.76, 7,713.80 and 4,873.72

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Solution

The fourth proportional to 5,136.76, 7,713.80 and 4,873.72 is: 7,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.76 : 7,713.80 = 4,873.72 : x
  2. Step 2: Convert to fraction form
    5,136.76/7,713.80 = 4,873.72/x
  3. Step 3: Cross multiply
    5,136.76x = 7,713.80 × 4,873.72
  4. Step 4: Simplify right side
    5,136.76x = 37,594,901.34
  5. Step 5: Solve for x
    x = 37,594,901.34/5,136.76
  6. Step 6: Final answer
    x = 7,318.80

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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.