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Finding the Fourth Proportional to 14,648.60, 20,215.12 and 7,934.21

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Solution

The fourth proportional to 14,648.60, 20,215.12 and 7,934.21 is: 10,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.60 : 20,215.12 = 7,934.21 : x
  2. Step 2: Convert to fraction form
    14,648.60/20,215.12 = 7,934.21/x
  3. Step 3: Cross multiply
    14,648.60x = 20,215.12 × 7,934.21
  4. Step 4: Simplify right side
    14,648.60x = 160,391,007.26
  5. Step 5: Solve for x
    x = 160,391,007.26/14,648.60
  6. Step 6: Final answer
    x = 10,949.24

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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.