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Finding the Fourth Proportional to 1,527.68, 2,118.68 and 1,432.64

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Solution

The fourth proportional to 1,527.68, 2,118.68 and 1,432.64 is: 1,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.68 : 2,118.68 = 1,432.64 : x
  2. Step 2: Convert to fraction form
    1,527.68/2,118.68 = 1,432.64/x
  3. Step 3: Cross multiply
    1,527.68x = 2,118.68 × 1,432.64
  4. Step 4: Simplify right side
    1,527.68x = 3,035,305.72
  5. Step 5: Solve for x
    x = 3,035,305.72/1,527.68
  6. Step 6: Final answer
    x = 1,986.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.