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Finding the Fourth Proportional to 6,543.60, 9,822.60 and 3,620.40

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Solution

The fourth proportional to 6,543.60, 9,822.60 and 3,620.40 is: 5,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.60 : 9,822.60 = 3,620.40 : x
  2. Step 2: Convert to fraction form
    6,543.60/9,822.60 = 3,620.40/x
  3. Step 3: Cross multiply
    6,543.60x = 9,822.60 × 3,620.40
  4. Step 4: Simplify right side
    6,543.60x = 35,561,741.04
  5. Step 5: Solve for x
    x = 35,561,741.04/6,543.60
  6. Step 6: Final answer
    x = 5,434.58

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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.