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Finding the Fourth Proportional to 11,376.32, 15,698.72 and 6,408

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Solution

The fourth proportional to 11,376.32, 15,698.72 and 6,408 is: 8,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.32 : 15,698.72 = 6,408 : x
  2. Step 2: Convert to fraction form
    11,376.32/15,698.72 = 6,408/x
  3. Step 3: Cross multiply
    11,376.32x = 15,698.72 × 6,408
  4. Step 4: Simplify right side
    11,376.32x = 100,597,397.76
  5. Step 5: Solve for x
    x = 100,597,397.76/11,376.32
  6. Step 6: Final answer
    x = 8,842.70

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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.