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Finding the Fourth Proportional to 7,221.17, 10,830.90 and 1,956.62

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Solution

The fourth proportional to 7,221.17, 10,830.90 and 1,956.62 is: 2,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.17 : 10,830.90 = 1,956.62 : x
  2. Step 2: Convert to fraction form
    7,221.17/10,830.90 = 1,956.62/x
  3. Step 3: Cross multiply
    7,221.17x = 10,830.90 × 1,956.62
  4. Step 4: Simplify right side
    7,221.17x = 21,191,955.56
  5. Step 5: Solve for x
    x = 21,191,955.56/7,221.17
  6. Step 6: Final answer
    x = 2,934.70

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1.5x scale

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.