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Finding the Fourth Proportional to 1,415, 2,118.40 and 1,266.80

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Solution

The fourth proportional to 1,415, 2,118.40 and 1,266.80 is: 1,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415 : 2,118.40 = 1,266.80 : x
  2. Step 2: Convert to fraction form
    1,415/2,118.40 = 1,266.80/x
  3. Step 3: Cross multiply
    1,415x = 2,118.40 × 1,266.80
  4. Step 4: Simplify right side
    1,415x = 2,683,589.12
  5. Step 5: Solve for x
    x = 2,683,589.12/1,415
  6. Step 6: Final answer
    x = 1,896.53

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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.