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Finding the Fourth Proportional to 2,765.48, 4,147.62 and 916.16

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Solution

The fourth proportional to 2,765.48, 4,147.62 and 916.16 is: 1,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.48 : 4,147.62 = 916.16 : x
  2. Step 2: Convert to fraction form
    2,765.48/4,147.62 = 916.16/x
  3. Step 3: Cross multiply
    2,765.48x = 4,147.62 × 916.16
  4. Step 4: Simplify right side
    2,765.48x = 3,799,883.54
  5. Step 5: Solve for x
    x = 3,799,883.54/2,765.48
  6. Step 6: Final answer
    x = 1,374.04

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1.5x scale

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.