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Finding the Fourth Proportional to 2,507.95, 3,762.78 and 948.40

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Solution

The fourth proportional to 2,507.95, 3,762.78 and 948.40 is: 1,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.95 : 3,762.78 = 948.40 : x
  2. Step 2: Convert to fraction form
    2,507.95/3,762.78 = 948.40/x
  3. Step 3: Cross multiply
    2,507.95x = 3,762.78 × 948.40
  4. Step 4: Simplify right side
    2,507.95x = 3,568,611.15
  5. Step 5: Solve for x
    x = 3,568,611.15/2,507.95
  6. Step 6: Final answer
    x = 1,422.92

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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.