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Finding the Fourth Proportional to 1,767.38, 2,652.15 and 901.76

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Solution

The fourth proportional to 1,767.38, 2,652.15 and 901.76 is: 1,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.38 : 2,652.15 = 901.76 : x
  2. Step 2: Convert to fraction form
    1,767.38/2,652.15 = 901.76/x
  3. Step 3: Cross multiply
    1,767.38x = 2,652.15 × 901.76
  4. Step 4: Simplify right side
    1,767.38x = 2,391,602.78
  5. Step 5: Solve for x
    x = 2,391,602.78/1,767.38
  6. Step 6: Final answer
    x = 1,353.19

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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.