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Finding the Fourth Proportional to 21,807.52, 30,094.08 and 12,376

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Solution

The fourth proportional to 21,807.52, 30,094.08 and 12,376 is: 17,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807.52 : 30,094.08 = 12,376 : x
  2. Step 2: Convert to fraction form
    21,807.52/30,094.08 = 12,376/x
  3. Step 3: Cross multiply
    21,807.52x = 30,094.08 × 12,376
  4. Step 4: Simplify right side
    21,807.52x = 372,444,334.08
  5. Step 5: Solve for x
    x = 372,444,334.08/21,807.52
  6. Step 6: Final answer
    x = 17,078.71

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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.