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Finding the Fourth Proportional to 2,471.00, 3,706.64 and 1,490.49

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Solution

The fourth proportional to 2,471.00, 3,706.64 and 1,490.49 is: 2,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.00 : 3,706.64 = 1,490.49 : x
  2. Step 2: Convert to fraction form
    2,471.00/3,706.64 = 1,490.49/x
  3. Step 3: Cross multiply
    2,471.00x = 3,706.64 × 1,490.49
  4. Step 4: Simplify right side
    2,471.00x = 5,524,702.40
  5. Step 5: Solve for x
    x = 5,524,702.40/2,471.00
  6. Step 6: Final answer
    x = 2,235.82

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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.