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Finding the Fourth Proportional to 10,408, 14,363.04 and 7,757.68

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Solution

The fourth proportional to 10,408, 14,363.04 and 7,757.68 is: 10,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408 : 14,363.04 = 7,757.68 : x
  2. Step 2: Convert to fraction form
    10,408/14,363.04 = 7,757.68/x
  3. Step 3: Cross multiply
    10,408x = 14,363.04 × 7,757.68
  4. Step 4: Simplify right side
    10,408x = 111,423,868.15
  5. Step 5: Solve for x
    x = 111,423,868.15/10,408
  6. Step 6: Final answer
    x = 10,705.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.