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Finding the Fourth Proportional to 10,656.81, 15,956.87 and 9,411.03

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Solution

The fourth proportional to 10,656.81, 15,956.87 and 9,411.03 is: 14,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.81 : 15,956.87 = 9,411.03 : x
  2. Step 2: Convert to fraction form
    10,656.81/15,956.87 = 9,411.03/x
  3. Step 3: Cross multiply
    10,656.81x = 15,956.87 × 9,411.03
  4. Step 4: Simplify right side
    10,656.81x = 150,170,535.22
  5. Step 5: Solve for x
    x = 150,170,535.22/10,656.81
  6. Step 6: Final answer
    x = 14,091.51

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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.