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Finding the Fourth Proportional to 4,951.52, 7,428 and 1,488.32

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Solution

The fourth proportional to 4,951.52, 7,428 and 1,488.32 is: 2,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.52 : 7,428 = 1,488.32 : x
  2. Step 2: Convert to fraction form
    4,951.52/7,428 = 1,488.32/x
  3. Step 3: Cross multiply
    4,951.52x = 7,428 × 1,488.32
  4. Step 4: Simplify right side
    4,951.52x = 11,055,240.96
  5. Step 5: Solve for x
    x = 11,055,240.96/4,951.52
  6. Step 6: Final answer
    x = 2,232.70

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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.