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Finding the Fourth Proportional to 22,710.75, 31,345.17 and 12,774.75

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Solution

The fourth proportional to 22,710.75, 31,345.17 and 12,774.75 is: 17,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.75 : 31,345.17 = 12,774.75 : x
  2. Step 2: Convert to fraction form
    22,710.75/31,345.17 = 12,774.75/x
  3. Step 3: Cross multiply
    22,710.75x = 31,345.17 × 12,774.75
  4. Step 4: Simplify right side
    22,710.75x = 400,426,710.46
  5. Step 5: Solve for x
    x = 400,426,710.46/22,710.75
  6. Step 6: Final answer
    x = 17,631.59

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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.