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Finding the Fourth Proportional to 14,854.50, 20,499.22 and 8,230.50

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Solution

The fourth proportional to 14,854.50, 20,499.22 and 8,230.50 is: 11,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.50 : 20,499.22 = 8,230.50 : x
  2. Step 2: Convert to fraction form
    14,854.50/20,499.22 = 8,230.50/x
  3. Step 3: Cross multiply
    14,854.50x = 20,499.22 × 8,230.50
  4. Step 4: Simplify right side
    14,854.50x = 168,718,830.21
  5. Step 5: Solve for x
    x = 168,718,830.21/14,854.50
  6. Step 6: Final answer
    x = 11,358.10

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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.