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Finding the Fourth Proportional to 14,920.25, 20,590.54 and 8,949.74

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Solution

The fourth proportional to 14,920.25, 20,590.54 and 8,949.74 is: 12,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.25 : 20,590.54 = 8,949.74 : x
  2. Step 2: Convert to fraction form
    14,920.25/20,590.54 = 8,949.74/x
  3. Step 3: Cross multiply
    14,920.25x = 20,590.54 × 8,949.74
  4. Step 4: Simplify right side
    14,920.25x = 184,279,854.13
  5. Step 5: Solve for x
    x = 184,279,854.13/14,920.25
  6. Step 6: Final answer
    x = 12,350.99

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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.