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Finding the Fourth Proportional to 3,615.85, 5,424.13 and 983.39

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Solution

The fourth proportional to 3,615.85, 5,424.13 and 983.39 is: 1,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.85 : 5,424.13 = 983.39 : x
  2. Step 2: Convert to fraction form
    3,615.85/5,424.13 = 983.39/x
  3. Step 3: Cross multiply
    3,615.85x = 5,424.13 × 983.39
  4. Step 4: Simplify right side
    3,615.85x = 5,334,035.20
  5. Step 5: Solve for x
    x = 5,334,035.20/3,615.85
  6. Step 6: Final answer
    x = 1,475.18

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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.