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Finding the Fourth Proportional to 5,140.79, 7,700.39 and 5,082.47

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Solution

The fourth proportional to 5,140.79, 7,700.39 and 5,082.47 is: 7,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.79 : 7,700.39 = 5,082.47 : x
  2. Step 2: Convert to fraction form
    5,140.79/7,700.39 = 5,082.47/x
  3. Step 3: Cross multiply
    5,140.79x = 7,700.39 × 5,082.47
  4. Step 4: Simplify right side
    5,140.79x = 39,137,014.06
  5. Step 5: Solve for x
    x = 39,137,014.06/5,140.79
  6. Step 6: Final answer
    x = 7,613.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.