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Finding the Fourth Proportional to 22,254, 30,712.44 and 12,319.92

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Solution

The fourth proportional to 22,254, 30,712.44 and 12,319.92 is: 17,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254 : 30,712.44 = 12,319.92 : x
  2. Step 2: Convert to fraction form
    22,254/30,712.44 = 12,319.92/x
  3. Step 3: Cross multiply
    22,254x = 30,712.44 × 12,319.92
  4. Step 4: Simplify right side
    22,254x = 378,374,803.80
  5. Step 5: Solve for x
    x = 378,374,803.80/22,254
  6. Step 6: Final answer
    x = 17,002.55

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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.