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Finding the Fourth Proportional to 1,415.80, 2,113.43 and 1,243

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Solution

The fourth proportional to 1,415.80, 2,113.43 and 1,243 is: 1,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.80 : 2,113.43 = 1,243 : x
  2. Step 2: Convert to fraction form
    1,415.80/2,113.43 = 1,243/x
  3. Step 3: Cross multiply
    1,415.80x = 2,113.43 × 1,243
  4. Step 4: Simplify right side
    1,415.80x = 2,626,993.49
  5. Step 5: Solve for x
    x = 2,626,993.49/1,415.80
  6. Step 6: Final answer
    x = 1,855.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.