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Finding the Fourth Proportional to 7,960.42, 11,943.04 and 3,214.14

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Solution

The fourth proportional to 7,960.42, 11,943.04 and 3,214.14 is: 4,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.42 : 11,943.04 = 3,214.14 : x
  2. Step 2: Convert to fraction form
    7,960.42/11,943.04 = 3,214.14/x
  3. Step 3: Cross multiply
    7,960.42x = 11,943.04 × 3,214.14
  4. Step 4: Simplify right side
    7,960.42x = 38,386,602.59
  5. Step 5: Solve for x
    x = 38,386,602.59/7,960.42
  6. Step 6: Final answer
    x = 4,822.18

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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.