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Finding the Fourth Proportional to 2,376.40, 3,564.74 and 915.56

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Solution

The fourth proportional to 2,376.40, 3,564.74 and 915.56 is: 1,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.40 : 3,564.74 = 915.56 : x
  2. Step 2: Convert to fraction form
    2,376.40/3,564.74 = 915.56/x
  3. Step 3: Cross multiply
    2,376.40x = 3,564.74 × 915.56
  4. Step 4: Simplify right side
    2,376.40x = 3,263,717.82
  5. Step 5: Solve for x
    x = 3,263,717.82/2,376.40
  6. Step 6: Final answer
    x = 1,373.39

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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.