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Finding the Fourth Proportional to 3,023.36, 4,535.07 and 915.00

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Solution

The fourth proportional to 3,023.36, 4,535.07 and 915.00 is: 1,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.36 : 4,535.07 = 915.00 : x
  2. Step 2: Convert to fraction form
    3,023.36/4,535.07 = 915.00/x
  3. Step 3: Cross multiply
    3,023.36x = 4,535.07 × 915.00
  4. Step 4: Simplify right side
    3,023.36x = 4,149,600.39
  5. Step 5: Solve for x
    x = 4,149,600.39/3,023.36
  6. Step 6: Final answer
    x = 1,372.51

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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.