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Finding the Fourth Proportional to 2,376.31, 3,564.61 and 915.45

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Solution

The fourth proportional to 2,376.31, 3,564.61 and 915.45 is: 1,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.31 : 3,564.61 = 915.45 : x
  2. Step 2: Convert to fraction form
    2,376.31/3,564.61 = 915.45/x
  3. Step 3: Cross multiply
    2,376.31x = 3,564.61 × 915.45
  4. Step 4: Simplify right side
    2,376.31x = 3,263,226.62
  5. Step 5: Solve for x
    x = 3,263,226.62/2,376.31
  6. Step 6: Final answer
    x = 1,373.23

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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.