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Finding the Fourth Proportional to 1,773.84, 2,448.06 and 988.08

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Solution

The fourth proportional to 1,773.84, 2,448.06 and 988.08 is: 1,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.84 : 2,448.06 = 988.08 : x
  2. Step 2: Convert to fraction form
    1,773.84/2,448.06 = 988.08/x
  3. Step 3: Cross multiply
    1,773.84x = 2,448.06 × 988.08
  4. Step 4: Simplify right side
    1,773.84x = 2,418,879.12
  5. Step 5: Solve for x
    x = 2,418,879.12/1,773.84
  6. Step 6: Final answer
    x = 1,363.64

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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.