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Finding the Fourth Proportional to 5,642.84, 7,787.09 and 3,158.84

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Solution

The fourth proportional to 5,642.84, 7,787.09 and 3,158.84 is: 4,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.84 : 7,787.09 = 3,158.84 : x
  2. Step 2: Convert to fraction form
    5,642.84/7,787.09 = 3,158.84/x
  3. Step 3: Cross multiply
    5,642.84x = 7,787.09 × 3,158.84
  4. Step 4: Simplify right side
    5,642.84x = 24,598,116.65
  5. Step 5: Solve for x
    x = 24,598,116.65/5,642.84
  6. Step 6: Final answer
    x = 4,359.18

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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.