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Finding the Fourth Proportional to 2,246.76, 3,100.50 and 1,462.32

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Solution

The fourth proportional to 2,246.76, 3,100.50 and 1,462.32 is: 2,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.76 : 3,100.50 = 1,462.32 : x
  2. Step 2: Convert to fraction form
    2,246.76/3,100.50 = 1,462.32/x
  3. Step 3: Cross multiply
    2,246.76x = 3,100.50 × 1,462.32
  4. Step 4: Simplify right side
    2,246.76x = 4,533,923.16
  5. Step 5: Solve for x
    x = 4,533,923.16/2,246.76
  6. Step 6: Final answer
    x = 2,017.98

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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.