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Finding the Fourth Proportional to 6,391.95, 9,587.82 and 2,009.46

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Solution

The fourth proportional to 6,391.95, 9,587.82 and 2,009.46 is: 3,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.95 : 9,587.82 = 2,009.46 : x
  2. Step 2: Convert to fraction form
    6,391.95/9,587.82 = 2,009.46/x
  3. Step 3: Cross multiply
    6,391.95x = 9,587.82 × 2,009.46
  4. Step 4: Simplify right side
    6,391.95x = 19,266,340.78
  5. Step 5: Solve for x
    x = 19,266,340.78/6,391.95
  6. Step 6: Final answer
    x = 3,014.16

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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.