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Finding the Fourth Proportional to 23,407.30, 35,103.66 and 7,821.28

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Solution

The fourth proportional to 23,407.30, 35,103.66 and 7,821.28 is: 11,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.30 : 35,103.66 = 7,821.28 : x
  2. Step 2: Convert to fraction form
    23,407.30/35,103.66 = 7,821.28/x
  3. Step 3: Cross multiply
    23,407.30x = 35,103.66 × 7,821.28
  4. Step 4: Simplify right side
    23,407.30x = 274,555,612.43
  5. Step 5: Solve for x
    x = 274,555,612.43/23,407.30
  6. Step 6: Final answer
    x = 11,729.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.