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Finding the Fourth Proportional to 9,820.80, 13,552.40 and 5,344.48

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Solution

The fourth proportional to 9,820.80, 13,552.40 and 5,344.48 is: 7,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.80 : 13,552.40 = 5,344.48 : x
  2. Step 2: Convert to fraction form
    9,820.80/13,552.40 = 5,344.48/x
  3. Step 3: Cross multiply
    9,820.80x = 13,552.40 × 5,344.48
  4. Step 4: Simplify right side
    9,820.80x = 72,430,530.75
  5. Step 5: Solve for x
    x = 72,430,530.75/9,820.80
  6. Step 6: Final answer
    x = 7,375.22

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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.