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Finding the Fourth Proportional to 2,691.68, 4,037.58 and 1,535

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Solution

The fourth proportional to 2,691.68, 4,037.58 and 1,535 is: 2,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.68 : 4,037.58 = 1,535 : x
  2. Step 2: Convert to fraction form
    2,691.68/4,037.58 = 1,535/x
  3. Step 3: Cross multiply
    2,691.68x = 4,037.58 × 1,535
  4. Step 4: Simplify right side
    2,691.68x = 6,197,685.30
  5. Step 5: Solve for x
    x = 6,197,685.30/2,691.68
  6. Step 6: Final answer
    x = 2,302.53

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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.