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Finding the Fourth Proportional to 27,281.42, 40,926.79 and 8,557.87

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Solution

The fourth proportional to 27,281.42, 40,926.79 and 8,557.87 is: 12,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,281.42 : 40,926.79 = 8,557.87 : x
  2. Step 2: Convert to fraction form
    27,281.42/40,926.79 = 8,557.87/x
  3. Step 3: Cross multiply
    27,281.42x = 40,926.79 × 8,557.87
  4. Step 4: Simplify right side
    27,281.42x = 350,246,148.34
  5. Step 5: Solve for x
    x = 350,246,148.34/27,281.42
  6. Step 6: Final answer
    x = 12,838.27

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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.