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Finding the Fourth Proportional to 9,242.76, 12,759.36 and 5,708.04

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Solution

The fourth proportional to 9,242.76, 12,759.36 and 5,708.04 is: 7,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.76 : 12,759.36 = 5,708.04 : x
  2. Step 2: Convert to fraction form
    9,242.76/12,759.36 = 5,708.04/x
  3. Step 3: Cross multiply
    9,242.76x = 12,759.36 × 5,708.04
  4. Step 4: Simplify right side
    9,242.76x = 72,830,937.25
  5. Step 5: Solve for x
    x = 72,830,937.25/9,242.76
  6. Step 6: Final answer
    x = 7,879.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.