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Finding the Fourth Proportional to 22,811.10, 31,479 and 12,739.71

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Solution

The fourth proportional to 22,811.10, 31,479 and 12,739.71 is: 17,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.10 : 31,479 = 12,739.71 : x
  2. Step 2: Convert to fraction form
    22,811.10/31,479 = 12,739.71/x
  3. Step 3: Cross multiply
    22,811.10x = 31,479 × 12,739.71
  4. Step 4: Simplify right side
    22,811.10x = 401,033,331.09
  5. Step 5: Solve for x
    x = 401,033,331.09/22,811.10
  6. Step 6: Final answer
    x = 17,580.62

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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.