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Finding the Fourth Proportional to 10,348.84, 15,518.22 and 3,421

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Solution

The fourth proportional to 10,348.84, 15,518.22 and 3,421 is: 5,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.84 : 15,518.22 = 3,421 : x
  2. Step 2: Convert to fraction form
    10,348.84/15,518.22 = 3,421/x
  3. Step 3: Cross multiply
    10,348.84x = 15,518.22 × 3,421
  4. Step 4: Simplify right side
    10,348.84x = 53,087,830.62
  5. Step 5: Solve for x
    x = 53,087,830.62/10,348.84
  6. Step 6: Final answer
    x = 5,129.83

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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.