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Finding the Fourth Proportional to 8,303.20, 12,454.80 and 5,840.80

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Solution

The fourth proportional to 8,303.20, 12,454.80 and 5,840.80 is: 8,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.20 : 12,454.80 = 5,840.80 : x
  2. Step 2: Convert to fraction form
    8,303.20/12,454.80 = 5,840.80/x
  3. Step 3: Cross multiply
    8,303.20x = 12,454.80 × 5,840.80
  4. Step 4: Simplify right side
    8,303.20x = 72,745,995.84
  5. Step 5: Solve for x
    x = 72,745,995.84/8,303.20
  6. Step 6: Final answer
    x = 8,761.20

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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.