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Finding the Fourth Proportional to 1,253.84, 1,871.62 and 1,151.12

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Solution

The fourth proportional to 1,253.84, 1,871.62 and 1,151.12 is: 1,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.84 : 1,871.62 = 1,151.12 : x
  2. Step 2: Convert to fraction form
    1,253.84/1,871.62 = 1,151.12/x
  3. Step 3: Cross multiply
    1,253.84x = 1,871.62 × 1,151.12
  4. Step 4: Simplify right side
    1,253.84x = 2,154,459.21
  5. Step 5: Solve for x
    x = 2,154,459.21/1,253.84
  6. Step 6: Final answer
    x = 1,718.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.