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Finding the Fourth Proportional to 7,149.60, 9,861.60 and 5,823.36

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Solution

The fourth proportional to 7,149.60, 9,861.60 and 5,823.36 is: 8,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.60 : 9,861.60 = 5,823.36 : x
  2. Step 2: Convert to fraction form
    7,149.60/9,861.60 = 5,823.36/x
  3. Step 3: Cross multiply
    7,149.60x = 9,861.60 × 5,823.36
  4. Step 4: Simplify right side
    7,149.60x = 57,427,646.98
  5. Step 5: Solve for x
    x = 57,427,646.98/7,149.60
  6. Step 6: Final answer
    x = 8,032.29

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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.