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Finding the Fourth Proportional to 14,992.85, 20,689.70 and 8,278.31

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Solution

The fourth proportional to 14,992.85, 20,689.70 and 8,278.31 is: 11,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.85 : 20,689.70 = 8,278.31 : x
  2. Step 2: Convert to fraction form
    14,992.85/20,689.70 = 8,278.31/x
  3. Step 3: Cross multiply
    14,992.85x = 20,689.70 × 8,278.31
  4. Step 4: Simplify right side
    14,992.85x = 171,275,605.57
  5. Step 5: Solve for x
    x = 171,275,605.57/14,992.85
  6. Step 6: Final answer
    x = 11,423.82

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1.5x scale

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.