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Finding the Fourth Proportional to 5,562.02, 8,342.40 and 1,665.50

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Solution

The fourth proportional to 5,562.02, 8,342.40 and 1,665.50 is: 2,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.02 : 8,342.40 = 1,665.50 : x
  2. Step 2: Convert to fraction form
    5,562.02/8,342.40 = 1,665.50/x
  3. Step 3: Cross multiply
    5,562.02x = 8,342.40 × 1,665.50
  4. Step 4: Simplify right side
    5,562.02x = 13,894,267.20
  5. Step 5: Solve for x
    x = 13,894,267.20/5,562.02
  6. Step 6: Final answer
    x = 2,498.06

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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.