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Finding the Fourth Proportional to 3,921.31, 5,881.80 and 999.53

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Solution

The fourth proportional to 3,921.31, 5,881.80 and 999.53 is: 1,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.31 : 5,881.80 = 999.53 : x
  2. Step 2: Convert to fraction form
    3,921.31/5,881.80 = 999.53/x
  3. Step 3: Cross multiply
    3,921.31x = 5,881.80 × 999.53
  4. Step 4: Simplify right side
    3,921.31x = 5,879,035.55
  5. Step 5: Solve for x
    x = 5,879,035.55/3,921.31
  6. Step 6: Final answer
    x = 1,499.25

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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.