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Finding the Fourth Proportional to 7,723.60, 10,659.72 and 6,542.80

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Solution

The fourth proportional to 7,723.60, 10,659.72 and 6,542.80 is: 9,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.60 : 10,659.72 = 6,542.80 : x
  2. Step 2: Convert to fraction form
    7,723.60/10,659.72 = 6,542.80/x
  3. Step 3: Cross multiply
    7,723.60x = 10,659.72 × 6,542.80
  4. Step 4: Simplify right side
    7,723.60x = 69,744,416.02
  5. Step 5: Solve for x
    x = 69,744,416.02/7,723.60
  6. Step 6: Final answer
    x = 9,030.04

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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.