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Finding the Fourth Proportional to 6,948.40, 10,422.60 and 6,905.20

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Solution

The fourth proportional to 6,948.40, 10,422.60 and 6,905.20 is: 10,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.40 : 10,422.60 = 6,905.20 : x
  2. Step 2: Convert to fraction form
    6,948.40/10,422.60 = 6,905.20/x
  3. Step 3: Cross multiply
    6,948.40x = 10,422.60 × 6,905.20
  4. Step 4: Simplify right side
    6,948.40x = 71,970,137.52
  5. Step 5: Solve for x
    x = 71,970,137.52/6,948.40
  6. Step 6: Final answer
    x = 10,357.80

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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.