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Finding the Fourth Proportional to 5,320, 7,341.60 and 3,112

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Solution

The fourth proportional to 5,320, 7,341.60 and 3,112 is: 4,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320 : 7,341.60 = 3,112 : x
  2. Step 2: Convert to fraction form
    5,320/7,341.60 = 3,112/x
  3. Step 3: Cross multiply
    5,320x = 7,341.60 × 3,112
  4. Step 4: Simplify right side
    5,320x = 22,847,059.20
  5. Step 5: Solve for x
    x = 22,847,059.20/5,320
  6. Step 6: Final answer
    x = 4,294.56

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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.