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Finding the Fourth Proportional to 10,641.80, 15,956.80 and 4,936.55

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Solution

The fourth proportional to 10,641.80, 15,956.80 and 4,936.55 is: 7,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.80 : 15,956.80 = 4,936.55 : x
  2. Step 2: Convert to fraction form
    10,641.80/15,956.80 = 4,936.55/x
  3. Step 3: Cross multiply
    10,641.80x = 15,956.80 × 4,936.55
  4. Step 4: Simplify right side
    10,641.80x = 78,771,448.91
  5. Step 5: Solve for x
    x = 78,771,448.91/10,641.80
  6. Step 6: Final answer
    x = 7,402.08

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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.