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Finding the Fourth Proportional to 6,543.88, 9,820.16 and 3,081.40

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Solution

The fourth proportional to 6,543.88, 9,820.16 and 3,081.40 is: 4,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.88 : 9,820.16 = 3,081.40 : x
  2. Step 2: Convert to fraction form
    6,543.88/9,820.16 = 3,081.40/x
  3. Step 3: Cross multiply
    6,543.88x = 9,820.16 × 3,081.40
  4. Step 4: Simplify right side
    6,543.88x = 30,259,841.02
  5. Step 5: Solve for x
    x = 30,259,841.02/6,543.88
  6. Step 6: Final answer
    x = 4,624.14

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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.