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Finding the Fourth Proportional to 5,258.78, 7,897.10 and 3,514.99

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Solution

The fourth proportional to 5,258.78, 7,897.10 and 3,514.99 is: 5,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.78 : 7,897.10 = 3,514.99 : x
  2. Step 2: Convert to fraction form
    5,258.78/7,897.10 = 3,514.99/x
  3. Step 3: Cross multiply
    5,258.78x = 7,897.10 × 3,514.99
  4. Step 4: Simplify right side
    5,258.78x = 27,758,227.53
  5. Step 5: Solve for x
    x = 27,758,227.53/5,258.78
  6. Step 6: Final answer
    x = 5,278.45

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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.