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Finding the Fourth Proportional to 5,482.40, 8,233.20 and 5,309.60

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Solution

The fourth proportional to 5,482.40, 8,233.20 and 5,309.60 is: 7,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.40 : 8,233.20 = 5,309.60 : x
  2. Step 2: Convert to fraction form
    5,482.40/8,233.20 = 5,309.60/x
  3. Step 3: Cross multiply
    5,482.40x = 8,233.20 × 5,309.60
  4. Step 4: Simplify right side
    5,482.40x = 43,714,998.72
  5. Step 5: Solve for x
    x = 43,714,998.72/5,482.40
  6. Step 6: Final answer
    x = 7,973.70

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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.