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Finding the Fourth Proportional to 2,702.72, 4,054.08 and 972.56

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Solution

The fourth proportional to 2,702.72, 4,054.08 and 972.56 is: 1,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.72 : 4,054.08 = 972.56 : x
  2. Step 2: Convert to fraction form
    2,702.72/4,054.08 = 972.56/x
  3. Step 3: Cross multiply
    2,702.72x = 4,054.08 × 972.56
  4. Step 4: Simplify right side
    2,702.72x = 3,942,836.04
  5. Step 5: Solve for x
    x = 3,942,836.04/2,702.72
  6. Step 6: Final answer
    x = 1,458.84

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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.