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Finding the Fourth Proportional to 21,956.45, 32,923.47 and 7,155.86

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Solution

The fourth proportional to 21,956.45, 32,923.47 and 7,155.86 is: 10,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.45 : 32,923.47 = 7,155.86 : x
  2. Step 2: Convert to fraction form
    21,956.45/32,923.47 = 7,155.86/x
  3. Step 3: Cross multiply
    21,956.45x = 32,923.47 × 7,155.86
  4. Step 4: Simplify right side
    21,956.45x = 235,595,742.03
  5. Step 5: Solve for x
    x = 235,595,742.03/21,956.45
  6. Step 6: Final answer
    x = 10,730.14

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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.