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Finding the Fourth Proportional to 1,610.32, 2,412.96 and 916.12

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Solution

The fourth proportional to 1,610.32, 2,412.96 and 916.12 is: 1,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.32 : 2,412.96 = 916.12 : x
  2. Step 2: Convert to fraction form
    1,610.32/2,412.96 = 916.12/x
  3. Step 3: Cross multiply
    1,610.32x = 2,412.96 × 916.12
  4. Step 4: Simplify right side
    1,610.32x = 2,210,560.92
  5. Step 5: Solve for x
    x = 2,210,560.92/1,610.32
  6. Step 6: Final answer
    x = 1,372.75

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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.