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Finding the Fourth Proportional to 7,679.90, 10,599.28 and 5,696.12

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Solution

The fourth proportional to 7,679.90, 10,599.28 and 5,696.12 is: 7,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.90 : 10,599.28 = 5,696.12 : x
  2. Step 2: Convert to fraction form
    7,679.90/10,599.28 = 5,696.12/x
  3. Step 3: Cross multiply
    7,679.90x = 10,599.28 × 5,696.12
  4. Step 4: Simplify right side
    7,679.90x = 60,374,770.79
  5. Step 5: Solve for x
    x = 60,374,770.79/7,679.90
  6. Step 6: Final answer
    x = 7,861.40

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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.