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Finding the Fourth Proportional to 14,648.64, 20,215.16 and 7,934.28

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Solution

The fourth proportional to 14,648.64, 20,215.16 and 7,934.28 is: 10,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.64 : 20,215.16 = 7,934.28 : x
  2. Step 2: Convert to fraction form
    14,648.64/20,215.16 = 7,934.28/x
  3. Step 3: Cross multiply
    14,648.64x = 20,215.16 × 7,934.28
  4. Step 4: Simplify right side
    14,648.64x = 160,392,739.68
  5. Step 5: Solve for x
    x = 160,392,739.68/14,648.64
  6. Step 6: Final answer
    x = 10,949.33

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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.