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Finding the Fourth Proportional to 22,812.68, 31,478.37 and 12,739.84

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Solution

The fourth proportional to 22,812.68, 31,478.37 and 12,739.84 is: 17,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.68 : 31,478.37 = 12,739.84 : x
  2. Step 2: Convert to fraction form
    22,812.68/31,478.37 = 12,739.84/x
  3. Step 3: Cross multiply
    22,812.68x = 31,478.37 × 12,739.84
  4. Step 4: Simplify right side
    22,812.68x = 401,029,397.26
  5. Step 5: Solve for x
    x = 401,029,397.26/22,812.68
  6. Step 6: Final answer
    x = 17,579.23

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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.