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Finding the Fourth Proportional to 6,624, 9,934.29 and 1,942.74

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Solution

The fourth proportional to 6,624, 9,934.29 and 1,942.74 is: 2,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624 : 9,934.29 = 1,942.74 : x
  2. Step 2: Convert to fraction form
    6,624/9,934.29 = 1,942.74/x
  3. Step 3: Cross multiply
    6,624x = 9,934.29 × 1,942.74
  4. Step 4: Simplify right side
    6,624x = 19,299,742.55
  5. Step 5: Solve for x
    x = 19,299,742.55/6,624
  6. Step 6: Final answer
    x = 2,913.61

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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.