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Finding the Fourth Proportional to 1,515.66, 2,266.88 and 1,404.96

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Solution

The fourth proportional to 1,515.66, 2,266.88 and 1,404.96 is: 2,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.66 : 2,266.88 = 1,404.96 : x
  2. Step 2: Convert to fraction form
    1,515.66/2,266.88 = 1,404.96/x
  3. Step 3: Cross multiply
    1,515.66x = 2,266.88 × 1,404.96
  4. Step 4: Simplify right side
    1,515.66x = 3,184,868.70
  5. Step 5: Solve for x
    x = 3,184,868.70/1,515.66
  6. Step 6: Final answer
    x = 2,101.31

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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.