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Finding the Fourth Proportional to 14,689, 20,271.30 and 8,065

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Solution

The fourth proportional to 14,689, 20,271.30 and 8,065 is: 11,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689 : 20,271.30 = 8,065 : x
  2. Step 2: Convert to fraction form
    14,689/20,271.30 = 8,065/x
  3. Step 3: Cross multiply
    14,689x = 20,271.30 × 8,065
  4. Step 4: Simplify right side
    14,689x = 163,488,034.50
  5. Step 5: Solve for x
    x = 163,488,034.50/14,689
  6. Step 6: Final answer
    x = 11,129.96

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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.