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Finding the Fourth Proportional to 5,605.66, 8,406.52 and 1,655.87

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Solution

The fourth proportional to 5,605.66, 8,406.52 and 1,655.87 is: 2,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.66 : 8,406.52 = 1,655.87 : x
  2. Step 2: Convert to fraction form
    5,605.66/8,406.52 = 1,655.87/x
  3. Step 3: Cross multiply
    5,605.66x = 8,406.52 × 1,655.87
  4. Step 4: Simplify right side
    5,605.66x = 13,920,104.27
  5. Step 5: Solve for x
    x = 13,920,104.27/5,605.66
  6. Step 6: Final answer
    x = 2,483.22

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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.