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Finding the Fourth Proportional to 5,787.74, 8,681.66 and 1,405.24

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Solution

The fourth proportional to 5,787.74, 8,681.66 and 1,405.24 is: 2,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.74 : 8,681.66 = 1,405.24 : x
  2. Step 2: Convert to fraction form
    5,787.74/8,681.66 = 1,405.24/x
  3. Step 3: Cross multiply
    5,787.74x = 8,681.66 × 1,405.24
  4. Step 4: Simplify right side
    5,787.74x = 12,199,815.90
  5. Step 5: Solve for x
    x = 12,199,815.90/5,787.74
  6. Step 6: Final answer
    x = 2,107.87

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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.