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Finding the Fourth Proportional to 7,769.60, 10,697.28 and 7,239.68

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Solution

The fourth proportional to 7,769.60, 10,697.28 and 7,239.68 is: 9,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.60 : 10,697.28 = 7,239.68 : x
  2. Step 2: Convert to fraction form
    7,769.60/10,697.28 = 7,239.68/x
  3. Step 3: Cross multiply
    7,769.60x = 10,697.28 × 7,239.68
  4. Step 4: Simplify right side
    7,769.60x = 77,444,884.07
  5. Step 5: Solve for x
    x = 77,444,884.07/7,769.60
  6. Step 6: Final answer
    x = 9,967.68

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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.