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Finding the Fourth Proportional to 6,647.52, 9,166.80 and 4,657.44

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Solution

The fourth proportional to 6,647.52, 9,166.80 and 4,657.44 is: 6,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.52 : 9,166.80 = 4,657.44 : x
  2. Step 2: Convert to fraction form
    6,647.52/9,166.80 = 4,657.44/x
  3. Step 3: Cross multiply
    6,647.52x = 9,166.80 × 4,657.44
  4. Step 4: Simplify right side
    6,647.52x = 42,693,820.99
  5. Step 5: Solve for x
    x = 42,693,820.99/6,647.52
  6. Step 6: Final answer
    x = 6,422.52

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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.