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Finding the Fourth Proportional to 9,077.24, 13,619.78 and 4,920.24

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Solution

The fourth proportional to 9,077.24, 13,619.78 and 4,920.24 is: 7,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.24 : 13,619.78 = 4,920.24 : x
  2. Step 2: Convert to fraction form
    9,077.24/13,619.78 = 4,920.24/x
  3. Step 3: Cross multiply
    9,077.24x = 13,619.78 × 4,920.24
  4. Step 4: Simplify right side
    9,077.24x = 67,012,586.35
  5. Step 5: Solve for x
    x = 67,012,586.35/9,077.24
  6. Step 6: Final answer
    x = 7,382.48

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1.5x scale

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.