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Finding the Fourth Proportional to 7,754.40, 10,699.20 and 5,241.60

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Solution

The fourth proportional to 7,754.40, 10,699.20 and 5,241.60 is: 7,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.40 : 10,699.20 = 5,241.60 : x
  2. Step 2: Convert to fraction form
    7,754.40/10,699.20 = 5,241.60/x
  3. Step 3: Cross multiply
    7,754.40x = 10,699.20 × 5,241.60
  4. Step 4: Simplify right side
    7,754.40x = 56,080,926.72
  5. Step 5: Solve for x
    x = 56,080,926.72/7,754.40
  6. Step 6: Final answer
    x = 7,232.14

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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.