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Finding the Fourth Proportional to 6,978.30, 10,467.45 and 6,200.70

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Solution

The fourth proportional to 6,978.30, 10,467.45 and 6,200.70 is: 9,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.30 : 10,467.45 = 6,200.70 : x
  2. Step 2: Convert to fraction form
    6,978.30/10,467.45 = 6,200.70/x
  3. Step 3: Cross multiply
    6,978.30x = 10,467.45 × 6,200.70
  4. Step 4: Simplify right side
    6,978.30x = 64,905,517.22
  5. Step 5: Solve for x
    x = 64,905,517.22/6,978.30
  6. Step 6: Final answer
    x = 9,301.05

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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.