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Finding the Fourth Proportional to 13,821, 20,734.74 and 4,587

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Solution

The fourth proportional to 13,821, 20,734.74 and 4,587 is: 6,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821 : 20,734.74 = 4,587 : x
  2. Step 2: Convert to fraction form
    13,821/20,734.74 = 4,587/x
  3. Step 3: Cross multiply
    13,821x = 20,734.74 × 4,587
  4. Step 4: Simplify right side
    13,821x = 95,110,252.38
  5. Step 5: Solve for x
    x = 95,110,252.38/13,821
  6. Step 6: Final answer
    x = 6,881.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.