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Finding the Fourth Proportional to 7,771.60, 10,700.04 and 7,241.68

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Solution

The fourth proportional to 7,771.60, 10,700.04 and 7,241.68 is: 9,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.60 : 10,700.04 = 7,241.68 : x
  2. Step 2: Convert to fraction form
    7,771.60/10,700.04 = 7,241.68/x
  3. Step 3: Cross multiply
    7,771.60x = 10,700.04 × 7,241.68
  4. Step 4: Simplify right side
    7,771.60x = 77,486,265.67
  5. Step 5: Solve for x
    x = 77,486,265.67/7,771.60
  6. Step 6: Final answer
    x = 9,970.44

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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.