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Finding the Fourth Proportional to 2,316.25, 3,474.56 and 948.25

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Solution

The fourth proportional to 2,316.25, 3,474.56 and 948.25 is: 1,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.25 : 3,474.56 = 948.25 : x
  2. Step 2: Convert to fraction form
    2,316.25/3,474.56 = 948.25/x
  3. Step 3: Cross multiply
    2,316.25x = 3,474.56 × 948.25
  4. Step 4: Simplify right side
    2,316.25x = 3,294,751.52
  5. Step 5: Solve for x
    x = 3,294,751.52/2,316.25
  6. Step 6: Final answer
    x = 1,422.45

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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.