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Finding the Fourth Proportional to 22,959.15, 31,684.16 and 12,888.38

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Solution

The fourth proportional to 22,959.15, 31,684.16 and 12,888.38 is: 17,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.15 : 31,684.16 = 12,888.38 : x
  2. Step 2: Convert to fraction form
    22,959.15/31,684.16 = 12,888.38/x
  3. Step 3: Cross multiply
    22,959.15x = 31,684.16 × 12,888.38
  4. Step 4: Simplify right side
    22,959.15x = 408,357,605.49
  5. Step 5: Solve for x
    x = 408,357,605.49/22,959.15
  6. Step 6: Final answer
    x = 17,786.27

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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.