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Finding the Fourth Proportional to 7,138.90, 9,852.18 and 4,114.90

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Solution

The fourth proportional to 7,138.90, 9,852.18 and 4,114.90 is: 5,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.90 : 9,852.18 = 4,114.90 : x
  2. Step 2: Convert to fraction form
    7,138.90/9,852.18 = 4,114.90/x
  3. Step 3: Cross multiply
    7,138.90x = 9,852.18 × 4,114.90
  4. Step 4: Simplify right side
    7,138.90x = 40,540,735.48
  5. Step 5: Solve for x
    x = 40,540,735.48/7,138.90
  6. Step 6: Final answer
    x = 5,678.85

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1.5x scale

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.