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Finding the Fourth Proportional to 12,376.60, 18,565.81 and 5,363.42

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Solution

The fourth proportional to 12,376.60, 18,565.81 and 5,363.42 is: 8,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.60 : 18,565.81 = 5,363.42 : x
  2. Step 2: Convert to fraction form
    12,376.60/18,565.81 = 5,363.42/x
  3. Step 3: Cross multiply
    12,376.60x = 18,565.81 × 5,363.42
  4. Step 4: Simplify right side
    12,376.60x = 99,576,130.43
  5. Step 5: Solve for x
    x = 99,576,130.43/12,376.60
  6. Step 6: Final answer
    x = 8,045.52

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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.