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Finding the Fourth Proportional to 1,238.13, 1,710.08 and 986.90

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Solution

The fourth proportional to 1,238.13, 1,710.08 and 986.90 is: 1,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.13 : 1,710.08 = 986.90 : x
  2. Step 2: Convert to fraction form
    1,238.13/1,710.08 = 986.90/x
  3. Step 3: Cross multiply
    1,238.13x = 1,710.08 × 986.90
  4. Step 4: Simplify right side
    1,238.13x = 1,687,664.47
  5. Step 5: Solve for x
    x = 1,687,664.47/1,238.13
  6. Step 6: Final answer
    x = 1,363.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.