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Finding the Fourth Proportional to 2,182.62, 3,012.16 and 1,298.50

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Solution

The fourth proportional to 2,182.62, 3,012.16 and 1,298.50 is: 1,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.62 : 3,012.16 = 1,298.50 : x
  2. Step 2: Convert to fraction form
    2,182.62/3,012.16 = 1,298.50/x
  3. Step 3: Cross multiply
    2,182.62x = 3,012.16 × 1,298.50
  4. Step 4: Simplify right side
    2,182.62x = 3,911,289.76
  5. Step 5: Solve for x
    x = 3,911,289.76/2,182.62
  6. Step 6: Final answer
    x = 1,792.02

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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.