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Finding the Fourth Proportional to 8,943.57, 12,342 and 4,964.61

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Solution

The fourth proportional to 8,943.57, 12,342 and 4,964.61 is: 6,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.57 : 12,342 = 4,964.61 : x
  2. Step 2: Convert to fraction form
    8,943.57/12,342 = 4,964.61/x
  3. Step 3: Cross multiply
    8,943.57x = 12,342 × 4,964.61
  4. Step 4: Simplify right side
    8,943.57x = 61,273,216.62
  5. Step 5: Solve for x
    x = 61,273,216.62/8,943.57
  6. Step 6: Final answer
    x = 6,851.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.