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Finding the Fourth Proportional to 9,728.40, 14,610.20 and 8,518.80

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Solution

The fourth proportional to 9,728.40, 14,610.20 and 8,518.80 is: 12,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.40 : 14,610.20 = 8,518.80 : x
  2. Step 2: Convert to fraction form
    9,728.40/14,610.20 = 8,518.80/x
  3. Step 3: Cross multiply
    9,728.40x = 14,610.20 × 8,518.80
  4. Step 4: Simplify right side
    9,728.40x = 124,461,371.76
  5. Step 5: Solve for x
    x = 124,461,371.76/9,728.40
  6. Step 6: Final answer
    x = 12,793.61

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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.