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Finding the Fourth Proportional to 9,781.88, 14,673 and 2,386.36

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Solution

The fourth proportional to 9,781.88, 14,673 and 2,386.36 is: 3,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.88 : 14,673 = 2,386.36 : x
  2. Step 2: Convert to fraction form
    9,781.88/14,673 = 2,386.36/x
  3. Step 3: Cross multiply
    9,781.88x = 14,673 × 2,386.36
  4. Step 4: Simplify right side
    9,781.88x = 35,015,060.28
  5. Step 5: Solve for x
    x = 35,015,060.28/9,781.88
  6. Step 6: Final answer
    x = 3,579.58

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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.