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Finding the Fourth Proportional to 9,245.80, 12,763.46 and 5,711.08

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Solution

The fourth proportional to 9,245.80, 12,763.46 and 5,711.08 is: 7,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.80 : 12,763.46 = 5,711.08 : x
  2. Step 2: Convert to fraction form
    9,245.80/12,763.46 = 5,711.08/x
  3. Step 3: Cross multiply
    9,245.80x = 12,763.46 × 5,711.08
  4. Step 4: Simplify right side
    9,245.80x = 72,893,141.14
  5. Step 5: Solve for x
    x = 72,893,141.14/9,245.80
  6. Step 6: Final answer
    x = 7,883.92

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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.