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Finding the Fourth Proportional to 4,620.75, 6,931.19 and 1,542.75

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Solution

The fourth proportional to 4,620.75, 6,931.19 and 1,542.75 is: 2,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.75 : 6,931.19 = 1,542.75 : x
  2. Step 2: Convert to fraction form
    4,620.75/6,931.19 = 1,542.75/x
  3. Step 3: Cross multiply
    4,620.75x = 6,931.19 × 1,542.75
  4. Step 4: Simplify right side
    4,620.75x = 10,693,085.66
  5. Step 5: Solve for x
    x = 10,693,085.66/4,620.75
  6. Step 6: Final answer
    x = 2,314.15

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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.