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Finding the Fourth Proportional to 6,631.60, 9,151.60 and 3,647.63

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Solution

The fourth proportional to 6,631.60, 9,151.60 and 3,647.63 is: 5,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.60 : 9,151.60 = 3,647.63 : x
  2. Step 2: Convert to fraction form
    6,631.60/9,151.60 = 3,647.63/x
  3. Step 3: Cross multiply
    6,631.60x = 9,151.60 × 3,647.63
  4. Step 4: Simplify right side
    6,631.60x = 33,381,650.71
  5. Step 5: Solve for x
    x = 33,381,650.71/6,631.60
  6. Step 6: Final answer
    x = 5,033.72

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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.