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Finding the Fourth Proportional to 5,211.86, 7,819.10 and 1,514

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Solution

The fourth proportional to 5,211.86, 7,819.10 and 1,514 is: 2,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.86 : 7,819.10 = 1,514 : x
  2. Step 2: Convert to fraction form
    5,211.86/7,819.10 = 1,514/x
  3. Step 3: Cross multiply
    5,211.86x = 7,819.10 × 1,514
  4. Step 4: Simplify right side
    5,211.86x = 11,838,117.40
  5. Step 5: Solve for x
    x = 11,838,117.40/5,211.86
  6. Step 6: Final answer
    x = 2,271.38

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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.