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Finding the Fourth Proportional to 6,482.40, 9,712.80 and 3,188.40

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Solution

The fourth proportional to 6,482.40, 9,712.80 and 3,188.40 is: 4,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.40 : 9,712.80 = 3,188.40 : x
  2. Step 2: Convert to fraction form
    6,482.40/9,712.80 = 3,188.40/x
  3. Step 3: Cross multiply
    6,482.40x = 9,712.80 × 3,188.40
  4. Step 4: Simplify right side
    6,482.40x = 30,968,291.52
  5. Step 5: Solve for x
    x = 30,968,291.52/6,482.40
  6. Step 6: Final answer
    x = 4,777.29

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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.