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Finding the Fourth Proportional to 22,342.08, 30,832.16 and 12,406.08

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Solution

The fourth proportional to 22,342.08, 30,832.16 and 12,406.08 is: 17,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.08 : 30,832.16 = 12,406.08 : x
  2. Step 2: Convert to fraction form
    22,342.08/30,832.16 = 12,406.08/x
  3. Step 3: Cross multiply
    22,342.08x = 30,832.16 × 12,406.08
  4. Step 4: Simplify right side
    22,342.08x = 382,506,243.53
  5. Step 5: Solve for x
    x = 382,506,243.53/22,342.08
  6. Step 6: Final answer
    x = 17,120.44

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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.