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Finding the Fourth Proportional to 6,940, 9,641.41 and 6,875.15

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Solution

The fourth proportional to 6,940, 9,641.41 and 6,875.15 is: 9,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 9,641.41 = 6,875.15 : x
  2. Step 2: Convert to fraction form
    6,940/9,641.41 = 6,875.15/x
  3. Step 3: Cross multiply
    6,940x = 9,641.41 × 6,875.15
  4. Step 4: Simplify right side
    6,940x = 66,286,139.96
  5. Step 5: Solve for x
    x = 66,286,139.96/6,940
  6. Step 6: Final answer
    x = 9,551.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.