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Finding the Fourth Proportional to 22,812.60, 31,479.12 and 12,739.44

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Solution

The fourth proportional to 22,812.60, 31,479.12 and 12,739.44 is: 17,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.60 : 31,479.12 = 12,739.44 : x
  2. Step 2: Convert to fraction form
    22,812.60/31,479.12 = 12,739.44/x
  3. Step 3: Cross multiply
    22,812.60x = 31,479.12 × 12,739.44
  4. Step 4: Simplify right side
    22,812.60x = 401,026,360.49
  5. Step 5: Solve for x
    x = 401,026,360.49/22,812.60
  6. Step 6: Final answer
    x = 17,579.16

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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.