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Finding the Fourth Proportional to 1,527, 2,279.55 and 1,294.32

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Solution

The fourth proportional to 1,527, 2,279.55 and 1,294.32 is: 1,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527 : 2,279.55 = 1,294.32 : x
  2. Step 2: Convert to fraction form
    1,527/2,279.55 = 1,294.32/x
  3. Step 3: Cross multiply
    1,527x = 2,279.55 × 1,294.32
  4. Step 4: Simplify right side
    1,527x = 2,950,467.16
  5. Step 5: Solve for x
    x = 2,950,467.16/1,527
  6. Step 6: Final answer
    x = 1,932.20

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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.