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Finding the Fourth Proportional to 22,448.06, 30,978.14 and 12,376.92

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Solution

The fourth proportional to 22,448.06, 30,978.14 and 12,376.92 is: 17,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.06 : 30,978.14 = 12,376.92 : x
  2. Step 2: Convert to fraction form
    22,448.06/30,978.14 = 12,376.92/x
  3. Step 3: Cross multiply
    22,448.06x = 30,978.14 × 12,376.92
  4. Step 4: Simplify right side
    22,448.06x = 383,413,898.64
  5. Step 5: Solve for x
    x = 383,413,898.64/22,448.06
  6. Step 6: Final answer
    x = 17,080.05

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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.