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Finding the Fourth Proportional to 3,447.70, 4,757.92 and 1,875.80

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Solution

The fourth proportional to 3,447.70, 4,757.92 and 1,875.80 is: 2,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.70 : 4,757.92 = 1,875.80 : x
  2. Step 2: Convert to fraction form
    3,447.70/4,757.92 = 1,875.80/x
  3. Step 3: Cross multiply
    3,447.70x = 4,757.92 × 1,875.80
  4. Step 4: Simplify right side
    3,447.70x = 8,924,913.54
  5. Step 5: Solve for x
    x = 8,924,913.54/3,447.70
  6. Step 6: Final answer
    x = 2,588.66

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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.