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Finding the Fourth Proportional to 2,318.00, 3,477.06 and 912.35

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Solution

The fourth proportional to 2,318.00, 3,477.06 and 912.35 is: 1,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.00 : 3,477.06 = 912.35 : x
  2. Step 2: Convert to fraction form
    2,318.00/3,477.06 = 912.35/x
  3. Step 3: Cross multiply
    2,318.00x = 3,477.06 × 912.35
  4. Step 4: Simplify right side
    2,318.00x = 3,172,304.38
  5. Step 5: Solve for x
    x = 3,172,304.38/2,318.00
  6. Step 6: Final answer
    x = 1,368.56

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Why These Related Problems?

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