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Finding the Fourth Proportional to 5,787.86, 8,681.73 and 1,405.32

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Solution

The fourth proportional to 5,787.86, 8,681.73 and 1,405.32 is: 2,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.86 : 8,681.73 = 1,405.32 : x
  2. Step 2: Convert to fraction form
    5,787.86/8,681.73 = 1,405.32/x
  3. Step 3: Cross multiply
    5,787.86x = 8,681.73 × 1,405.32
  4. Step 4: Simplify right side
    5,787.86x = 12,200,652.13
  5. Step 5: Solve for x
    x = 12,200,652.13/5,787.86
  6. Step 6: Final answer
    x = 2,107.97

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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.