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Finding the Fourth Proportional to 5,398.86, 8,098.80 and 1,503.30

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Solution

The fourth proportional to 5,398.86, 8,098.80 and 1,503.30 is: 2,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.86 : 8,098.80 = 1,503.30 : x
  2. Step 2: Convert to fraction form
    5,398.86/8,098.80 = 1,503.30/x
  3. Step 3: Cross multiply
    5,398.86x = 8,098.80 × 1,503.30
  4. Step 4: Simplify right side
    5,398.86x = 12,174,926.04
  5. Step 5: Solve for x
    x = 12,174,926.04/5,398.86
  6. Step 6: Final answer
    x = 2,255.09

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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.