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Finding the Fourth Proportional to 3,127.48, 4,690.92 and 818.98

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Solution

The fourth proportional to 3,127.48, 4,690.92 and 818.98 is: 1,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.48 : 4,690.92 = 818.98 : x
  2. Step 2: Convert to fraction form
    3,127.48/4,690.92 = 818.98/x
  3. Step 3: Cross multiply
    3,127.48x = 4,690.92 × 818.98
  4. Step 4: Simplify right side
    3,127.48x = 3,841,769.66
  5. Step 5: Solve for x
    x = 3,841,769.66/3,127.48
  6. Step 6: Final answer
    x = 1,228.39

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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.