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Finding the Fourth Proportional to 1,524, 2,275.08 and 1,291.32

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Solution

The fourth proportional to 1,524, 2,275.08 and 1,291.32 is: 1,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524 : 2,275.08 = 1,291.32 : x
  2. Step 2: Convert to fraction form
    1,524/2,275.08 = 1,291.32/x
  3. Step 3: Cross multiply
    1,524x = 2,275.08 × 1,291.32
  4. Step 4: Simplify right side
    1,524x = 2,937,856.31
  5. Step 5: Solve for x
    x = 2,937,856.31/1,524
  6. Step 6: Final answer
    x = 1,927.73

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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.