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Finding the Fourth Proportional to 9,153.26, 12,627.25 and 5,375.20

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Solution

The fourth proportional to 9,153.26, 12,627.25 and 5,375.20 is: 7,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.26 : 12,627.25 = 5,375.20 : x
  2. Step 2: Convert to fraction form
    9,153.26/12,627.25 = 5,375.20/x
  3. Step 3: Cross multiply
    9,153.26x = 12,627.25 × 5,375.20
  4. Step 4: Simplify right side
    9,153.26x = 67,873,994.20
  5. Step 5: Solve for x
    x = 67,873,994.20/9,153.26
  6. Step 6: Final answer
    x = 7,415.28

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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.