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Finding the Fourth Proportional to 6,442.80, 8,887.32 and 3,647.76

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Solution

The fourth proportional to 6,442.80, 8,887.32 and 3,647.76 is: 5,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.80 : 8,887.32 = 3,647.76 : x
  2. Step 2: Convert to fraction form
    6,442.80/8,887.32 = 3,647.76/x
  3. Step 3: Cross multiply
    6,442.80x = 8,887.32 × 3,647.76
  4. Step 4: Simplify right side
    6,442.80x = 32,418,810.40
  5. Step 5: Solve for x
    x = 32,418,810.40/6,442.80
  6. Step 6: Final answer
    x = 5,031.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.