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Finding the Fourth Proportional to 9,180.75, 12,670.52 and 5,454.75

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Solution

The fourth proportional to 9,180.75, 12,670.52 and 5,454.75 is: 7,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.75 : 12,670.52 = 5,454.75 : x
  2. Step 2: Convert to fraction form
    9,180.75/12,670.52 = 5,454.75/x
  3. Step 3: Cross multiply
    9,180.75x = 12,670.52 × 5,454.75
  4. Step 4: Simplify right side
    9,180.75x = 69,114,491.70
  5. Step 5: Solve for x
    x = 69,114,491.70/9,180.75
  6. Step 6: Final answer
    x = 7,528.20

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Half scale
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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.