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Finding the Fourth Proportional to 11,411.79, 15,748.08 and 6,376.08

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Solution

The fourth proportional to 11,411.79, 15,748.08 and 6,376.08 is: 8,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.79 : 15,748.08 = 6,376.08 : x
  2. Step 2: Convert to fraction form
    11,411.79/15,748.08 = 6,376.08/x
  3. Step 3: Cross multiply
    11,411.79x = 15,748.08 × 6,376.08
  4. Step 4: Simplify right side
    11,411.79x = 100,411,017.93
  5. Step 5: Solve for x
    x = 100,411,017.93/11,411.79
  6. Step 6: Final answer
    x = 8,798.88

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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.