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Finding the Fourth Proportional to 3,887.96, 5,831.10 and 1,113.88

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Solution

The fourth proportional to 3,887.96, 5,831.10 and 1,113.88 is: 1,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.96 : 5,831.10 = 1,113.88 : x
  2. Step 2: Convert to fraction form
    3,887.96/5,831.10 = 1,113.88/x
  3. Step 3: Cross multiply
    3,887.96x = 5,831.10 × 1,113.88
  4. Step 4: Simplify right side
    3,887.96x = 6,495,145.67
  5. Step 5: Solve for x
    x = 6,495,145.67/3,887.96
  6. Step 6: Final answer
    x = 1,670.58

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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.