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Finding the Fourth Proportional to 2,084.78, 2,877.03 and 1,140.62

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Solution

The fourth proportional to 2,084.78, 2,877.03 and 1,140.62 is: 1,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.78 : 2,877.03 = 1,140.62 : x
  2. Step 2: Convert to fraction form
    2,084.78/2,877.03 = 1,140.62/x
  3. Step 3: Cross multiply
    2,084.78x = 2,877.03 × 1,140.62
  4. Step 4: Simplify right side
    2,084.78x = 3,281,597.31
  5. Step 5: Solve for x
    x = 3,281,597.31/2,084.78
  6. Step 6: Final answer
    x = 1,574.08

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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.