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Finding the Fourth Proportional to 1,805.64, 2,706.84 and 1,499.46

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Solution

The fourth proportional to 1,805.64, 2,706.84 and 1,499.46 is: 2,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.64 : 2,706.84 = 1,499.46 : x
  2. Step 2: Convert to fraction form
    1,805.64/2,706.84 = 1,499.46/x
  3. Step 3: Cross multiply
    1,805.64x = 2,706.84 × 1,499.46
  4. Step 4: Simplify right side
    1,805.64x = 4,058,798.31
  5. Step 5: Solve for x
    x = 4,058,798.31/1,805.64
  6. Step 6: Final answer
    x = 2,247.84

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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.