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Finding the Fourth Proportional to 9,291.41, 12,804.41 and 6,634.20

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Solution

The fourth proportional to 9,291.41, 12,804.41 and 6,634.20 is: 9,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.41 : 12,804.41 = 6,634.20 : x
  2. Step 2: Convert to fraction form
    9,291.41/12,804.41 = 6,634.20/x
  3. Step 3: Cross multiply
    9,291.41x = 12,804.41 × 6,634.20
  4. Step 4: Simplify right side
    9,291.41x = 84,947,081.42
  5. Step 5: Solve for x
    x = 84,947,081.42/9,291.41
  6. Step 6: Final answer
    x = 9,142.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.