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Finding the Fourth Proportional to 8,142.04, 12,213.04 and 2,948.32

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Solution

The fourth proportional to 8,142.04, 12,213.04 and 2,948.32 is: 4,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.04 : 12,213.04 = 2,948.32 : x
  2. Step 2: Convert to fraction form
    8,142.04/12,213.04 = 2,948.32/x
  3. Step 3: Cross multiply
    8,142.04x = 12,213.04 × 2,948.32
  4. Step 4: Simplify right side
    8,142.04x = 36,007,950.09
  5. Step 5: Solve for x
    x = 36,007,950.09/8,142.04
  6. Step 6: Final answer
    x = 4,422.47

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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.