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Finding the Fourth Proportional to 3,872.95, 5,807.60 and 1,407.11

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Solution

The fourth proportional to 3,872.95, 5,807.60 and 1,407.11 is: 2,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.95 : 5,807.60 = 1,407.11 : x
  2. Step 2: Convert to fraction form
    3,872.95/5,807.60 = 1,407.11/x
  3. Step 3: Cross multiply
    3,872.95x = 5,807.60 × 1,407.11
  4. Step 4: Simplify right side
    3,872.95x = 8,171,901.24
  5. Step 5: Solve for x
    x = 8,171,901.24/3,872.95
  6. Step 6: Final answer
    x = 2,110.00

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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.