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Finding the Fourth Proportional to 7,787.94, 11,681.92 and 2,240.00

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Solution

The fourth proportional to 7,787.94, 11,681.92 and 2,240.00 is: 3,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.94 : 11,681.92 = 2,240.00 : x
  2. Step 2: Convert to fraction form
    7,787.94/11,681.92 = 2,240.00/x
  3. Step 3: Cross multiply
    7,787.94x = 11,681.92 × 2,240.00
  4. Step 4: Simplify right side
    7,787.94x = 26,167,489.00
  5. Step 5: Solve for x
    x = 26,167,489.00/7,787.94
  6. Step 6: Final answer
    x = 3,360.00

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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.