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Finding the Fourth Proportional to 20,577, 28,402.74 and 13,125

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Solution

The fourth proportional to 20,577, 28,402.74 and 13,125 is: 18,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577 : 28,402.74 = 13,125 : x
  2. Step 2: Convert to fraction form
    20,577/28,402.74 = 13,125/x
  3. Step 3: Cross multiply
    20,577x = 28,402.74 × 13,125
  4. Step 4: Simplify right side
    20,577x = 372,785,962.50
  5. Step 5: Solve for x
    x = 372,785,962.50/20,577
  6. Step 6: Final answer
    x = 18,116.63

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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.