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Finding the Fourth Proportional to 7,131.76, 9,827.16 and 6,422.20

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Solution

The fourth proportional to 7,131.76, 9,827.16 and 6,422.20 is: 8,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.76 : 9,827.16 = 6,422.20 : x
  2. Step 2: Convert to fraction form
    7,131.76/9,827.16 = 6,422.20/x
  3. Step 3: Cross multiply
    7,131.76x = 9,827.16 × 6,422.20
  4. Step 4: Simplify right side
    7,131.76x = 63,111,986.95
  5. Step 5: Solve for x
    x = 63,111,986.95/7,131.76
  6. Step 6: Final answer
    x = 8,849.43

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Double scale
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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.