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Finding the Fourth Proportional to 2,009.76, 3,013.62 and 1,187.80

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Solution

The fourth proportional to 2,009.76, 3,013.62 and 1,187.80 is: 1,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.76 : 3,013.62 = 1,187.80 : x
  2. Step 2: Convert to fraction form
    2,009.76/3,013.62 = 1,187.80/x
  3. Step 3: Cross multiply
    2,009.76x = 3,013.62 × 1,187.80
  4. Step 4: Simplify right side
    2,009.76x = 3,579,577.84
  5. Step 5: Solve for x
    x = 3,579,577.84/2,009.76
  6. Step 6: Final answer
    x = 1,781.10

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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.