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Finding the Fourth Proportional to 6,938.40, 10,392.88 and 6,442.68

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Solution

The fourth proportional to 6,938.40, 10,392.88 and 6,442.68 is: 9,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.40 : 10,392.88 = 6,442.68 : x
  2. Step 2: Convert to fraction form
    6,938.40/10,392.88 = 6,442.68/x
  3. Step 3: Cross multiply
    6,938.40x = 10,392.88 × 6,442.68
  4. Step 4: Simplify right side
    6,938.40x = 66,958,000.12
  5. Step 5: Solve for x
    x = 66,958,000.12/6,938.40
  6. Step 6: Final answer
    x = 9,650.35

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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.