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Finding the Fourth Proportional to 5,663, 8,487.77 and 4,271.73

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Solution

The fourth proportional to 5,663, 8,487.77 and 4,271.73 is: 6,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663 : 8,487.77 = 4,271.73 : x
  2. Step 2: Convert to fraction form
    5,663/8,487.77 = 4,271.73/x
  3. Step 3: Cross multiply
    5,663x = 8,487.77 × 4,271.73
  4. Step 4: Simplify right side
    5,663x = 36,257,461.74
  5. Step 5: Solve for x
    x = 36,257,461.74/5,663
  6. Step 6: Final answer
    x = 6,402.52

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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.