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Finding the Fourth Proportional to 8,514, 12,771.72 and 2,358

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Solution

The fourth proportional to 8,514, 12,771.72 and 2,358 is: 3,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 12,771.72 = 2,358 : x
  2. Step 2: Convert to fraction form
    8,514/12,771.72 = 2,358/x
  3. Step 3: Cross multiply
    8,514x = 12,771.72 × 2,358
  4. Step 4: Simplify right side
    8,514x = 30,115,715.76
  5. Step 5: Solve for x
    x = 30,115,715.76/8,514
  6. Step 6: Final answer
    x = 3,537.20

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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.