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Finding the Fourth Proportional to 5,787.89, 8,681.84 and 1,405.34

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Solution

The fourth proportional to 5,787.89, 8,681.84 and 1,405.34 is: 2,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.89 : 8,681.84 = 1,405.34 : x
  2. Step 2: Convert to fraction form
    5,787.89/8,681.84 = 1,405.34/x
  3. Step 3: Cross multiply
    5,787.89x = 8,681.84 × 1,405.34
  4. Step 4: Simplify right side
    5,787.89x = 12,200,897.13
  5. Step 5: Solve for x
    x = 12,200,897.13/5,787.89
  6. Step 6: Final answer
    x = 2,108.01

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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.