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Finding the Fourth Proportional to 9,793.20, 14,689.80 and 5,408.40

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Solution

The fourth proportional to 9,793.20, 14,689.80 and 5,408.40 is: 8,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.20 : 14,689.80 = 5,408.40 : x
  2. Step 2: Convert to fraction form
    9,793.20/14,689.80 = 5,408.40/x
  3. Step 3: Cross multiply
    9,793.20x = 14,689.80 × 5,408.40
  4. Step 4: Simplify right side
    9,793.20x = 79,448,314.32
  5. Step 5: Solve for x
    x = 79,448,314.32/9,793.20
  6. Step 6: Final answer
    x = 8,112.60

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Similar ratio
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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.