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Finding the Fourth Proportional to 7,131.52, 9,843.60 and 4,478.86

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Solution

The fourth proportional to 7,131.52, 9,843.60 and 4,478.86 is: 6,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.52 : 9,843.60 = 4,478.86 : x
  2. Step 2: Convert to fraction form
    7,131.52/9,843.60 = 4,478.86/x
  3. Step 3: Cross multiply
    7,131.52x = 9,843.60 × 4,478.86
  4. Step 4: Simplify right side
    7,131.52x = 44,088,106.30
  5. Step 5: Solve for x
    x = 44,088,106.30/7,131.52
  6. Step 6: Final answer
    x = 6,182.15

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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.