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Finding the Fourth Proportional to 14,876.47, 20,530.11 and 8,162.38

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Solution

The fourth proportional to 14,876.47, 20,530.11 and 8,162.38 is: 11,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.47 : 20,530.11 = 8,162.38 : x
  2. Step 2: Convert to fraction form
    14,876.47/20,530.11 = 8,162.38/x
  3. Step 3: Cross multiply
    14,876.47x = 20,530.11 × 8,162.38
  4. Step 4: Simplify right side
    14,876.47x = 167,574,559.26
  5. Step 5: Solve for x
    x = 167,574,559.26/14,876.47
  6. Step 6: Final answer
    x = 11,264.40

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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.