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Finding the Fourth Proportional to 2,005.16, 2,767.04 and 1,108.84

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Solution

The fourth proportional to 2,005.16, 2,767.04 and 1,108.84 is: 1,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.16 : 2,767.04 = 1,108.84 : x
  2. Step 2: Convert to fraction form
    2,005.16/2,767.04 = 1,108.84/x
  3. Step 3: Cross multiply
    2,005.16x = 2,767.04 × 1,108.84
  4. Step 4: Simplify right side
    2,005.16x = 3,068,206.71
  5. Step 5: Solve for x
    x = 3,068,206.71/2,005.16
  6. Step 6: Final answer
    x = 1,530.16

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