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Finding the Fourth Proportional to 6,649.62, 9,180 and 5,154.18

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Solution

The fourth proportional to 6,649.62, 9,180 and 5,154.18 is: 7,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.62 : 9,180 = 5,154.18 : x
  2. Step 2: Convert to fraction form
    6,649.62/9,180 = 5,154.18/x
  3. Step 3: Cross multiply
    6,649.62x = 9,180 × 5,154.18
  4. Step 4: Simplify right side
    6,649.62x = 47,315,372.40
  5. Step 5: Solve for x
    x = 47,315,372.40/6,649.62
  6. Step 6: Final answer
    x = 7,115.50

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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.