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Finding the Fourth Proportional to 12,959.81, 17,882.67 and 7,506.83

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Solution

The fourth proportional to 12,959.81, 17,882.67 and 7,506.83 is: 10,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.81 : 17,882.67 = 7,506.83 : x
  2. Step 2: Convert to fraction form
    12,959.81/17,882.67 = 7,506.83/x
  3. Step 3: Cross multiply
    12,959.81x = 17,882.67 × 7,506.83
  4. Step 4: Simplify right side
    12,959.81x = 134,242,135.90
  5. Step 5: Solve for x
    x = 134,242,135.90/12,959.81
  6. Step 6: Final answer
    x = 10,358.34

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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.