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Finding the Fourth Proportional to 8,287.47, 11,437.74 and 4,750.61

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Solution

The fourth proportional to 8,287.47, 11,437.74 and 4,750.61 is: 6,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.47 : 11,437.74 = 4,750.61 : x
  2. Step 2: Convert to fraction form
    8,287.47/11,437.74 = 4,750.61/x
  3. Step 3: Cross multiply
    8,287.47x = 11,437.74 × 4,750.61
  4. Step 4: Simplify right side
    8,287.47x = 54,336,184.83
  5. Step 5: Solve for x
    x = 54,336,184.83/8,287.47
  6. Step 6: Final answer
    x = 6,556.43

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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.