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Finding the Fourth Proportional to 22,987.84, 31,720.96 and 12,914

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Solution

The fourth proportional to 22,987.84, 31,720.96 and 12,914 is: 17,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987.84 : 31,720.96 = 12,914 : x
  2. Step 2: Convert to fraction form
    22,987.84/31,720.96 = 12,914/x
  3. Step 3: Cross multiply
    22,987.84x = 31,720.96 × 12,914
  4. Step 4: Simplify right side
    22,987.84x = 409,644,477.44
  5. Step 5: Solve for x
    x = 409,644,477.44/22,987.84
  6. Step 6: Final answer
    x = 17,820.05

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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.