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Finding the Fourth Proportional to 4,807.96, 7,212.56 and 1,687.74

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Solution

The fourth proportional to 4,807.96, 7,212.56 and 1,687.74 is: 2,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.96 : 7,212.56 = 1,687.74 : x
  2. Step 2: Convert to fraction form
    4,807.96/7,212.56 = 1,687.74/x
  3. Step 3: Cross multiply
    4,807.96x = 7,212.56 × 1,687.74
  4. Step 4: Simplify right side
    4,807.96x = 12,172,889.95
  5. Step 5: Solve for x
    x = 12,172,889.95/4,807.96
  6. Step 6: Final answer
    x = 2,531.82

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1.5x scale

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.