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Finding the Fourth Proportional to 12,724.65, 17,562.06 and 7,689.51

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Solution

The fourth proportional to 12,724.65, 17,562.06 and 7,689.51 is: 10,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.65 : 17,562.06 = 7,689.51 : x
  2. Step 2: Convert to fraction form
    12,724.65/17,562.06 = 7,689.51/x
  3. Step 3: Cross multiply
    12,724.65x = 17,562.06 × 7,689.51
  4. Step 4: Simplify right side
    12,724.65x = 135,043,635.99
  5. Step 5: Solve for x
    x = 135,043,635.99/12,724.65
  6. Step 6: Final answer
    x = 10,612.76

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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.