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Finding the Fourth Proportional to 2,762, 4,140.25 and 1,298.56

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Solution

The fourth proportional to 2,762, 4,140.25 and 1,298.56 is: 1,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762 : 4,140.25 = 1,298.56 : x
  2. Step 2: Convert to fraction form
    2,762/4,140.25 = 1,298.56/x
  3. Step 3: Cross multiply
    2,762x = 4,140.25 × 1,298.56
  4. Step 4: Simplify right side
    2,762x = 5,376,363.04
  5. Step 5: Solve for x
    x = 5,376,363.04/2,762
  6. Step 6: Final answer
    x = 1,946.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.