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Finding the Fourth Proportional to 22,285.68, 30,754 and 12,214.68

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Solution

The fourth proportional to 22,285.68, 30,754 and 12,214.68 is: 16,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.68 : 30,754 = 12,214.68 : x
  2. Step 2: Convert to fraction form
    22,285.68/30,754 = 12,214.68/x
  3. Step 3: Cross multiply
    22,285.68x = 30,754 × 12,214.68
  4. Step 4: Simplify right side
    22,285.68x = 375,650,268.72
  5. Step 5: Solve for x
    x = 375,650,268.72/22,285.68
  6. Step 6: Final answer
    x = 16,856.13

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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.