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Finding the Fourth Proportional to 7,101.60, 10,648.40 and 2,719.20

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Solution

The fourth proportional to 7,101.60, 10,648.40 and 2,719.20 is: 4,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.60 : 10,648.40 = 2,719.20 : x
  2. Step 2: Convert to fraction form
    7,101.60/10,648.40 = 2,719.20/x
  3. Step 3: Cross multiply
    7,101.60x = 10,648.40 × 2,719.20
  4. Step 4: Simplify right side
    7,101.60x = 28,955,129.28
  5. Step 5: Solve for x
    x = 28,955,129.28/7,101.60
  6. Step 6: Final answer
    x = 4,077.27

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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.