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Finding the Fourth Proportional to 5,287.42, 7,876.42 and 5,110.64

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Solution

The fourth proportional to 5,287.42, 7,876.42 and 5,110.64 is: 7,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.42 : 7,876.42 = 5,110.64 : x
  2. Step 2: Convert to fraction form
    5,287.42/7,876.42 = 5,110.64/x
  3. Step 3: Cross multiply
    5,287.42x = 7,876.42 × 5,110.64
  4. Step 4: Simplify right side
    5,287.42x = 40,253,547.11
  5. Step 5: Solve for x
    x = 40,253,547.11/5,287.42
  6. Step 6: Final answer
    x = 7,613.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.