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Finding the Fourth Proportional to 2,274.82, 3,140.12 and 1,530.89

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Solution

The fourth proportional to 2,274.82, 3,140.12 and 1,530.89 is: 2,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.82 : 3,140.12 = 1,530.89 : x
  2. Step 2: Convert to fraction form
    2,274.82/3,140.12 = 1,530.89/x
  3. Step 3: Cross multiply
    2,274.82x = 3,140.12 × 1,530.89
  4. Step 4: Simplify right side
    2,274.82x = 4,807,178.31
  5. Step 5: Solve for x
    x = 4,807,178.31/2,274.82
  6. Step 6: Final answer
    x = 2,113.21

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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.