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Finding the Fourth Proportional to 2,078.65, 2,868.51 and 1,134.43

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Solution

The fourth proportional to 2,078.65, 2,868.51 and 1,134.43 is: 1,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.65 : 2,868.51 = 1,134.43 : x
  2. Step 2: Convert to fraction form
    2,078.65/2,868.51 = 1,134.43/x
  3. Step 3: Cross multiply
    2,078.65x = 2,868.51 × 1,134.43
  4. Step 4: Simplify right side
    2,078.65x = 3,254,131.64
  5. Step 5: Solve for x
    x = 3,254,131.64/2,078.65
  6. Step 6: Final answer
    x = 1,565.50

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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.