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Finding the Fourth Proportional to 9,772.28, 13,491.90 and 6,787.16

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Solution

The fourth proportional to 9,772.28, 13,491.90 and 6,787.16 is: 9,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.28 : 13,491.90 = 6,787.16 : x
  2. Step 2: Convert to fraction form
    9,772.28/13,491.90 = 6,787.16/x
  3. Step 3: Cross multiply
    9,772.28x = 13,491.90 × 6,787.16
  4. Step 4: Simplify right side
    9,772.28x = 91,571,684.00
  5. Step 5: Solve for x
    x = 91,571,684.00/9,772.28
  6. Step 6: Final answer
    x = 9,370.55

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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.