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Finding the Fourth Proportional to 14,931.60, 20,605.19 and 8,217.23

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Solution

The fourth proportional to 14,931.60, 20,605.19 and 8,217.23 is: 11,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931.60 : 20,605.19 = 8,217.23 : x
  2. Step 2: Convert to fraction form
    14,931.60/20,605.19 = 8,217.23/x
  3. Step 3: Cross multiply
    14,931.60x = 20,605.19 × 8,217.23
  4. Step 4: Simplify right side
    14,931.60x = 169,317,441.31
  5. Step 5: Solve for x
    x = 169,317,441.31/14,931.60
  6. Step 6: Final answer
    x = 11,339.54

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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.