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Finding the Fourth Proportional to 2,343.38, 3,515 and 612.01

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Solution

The fourth proportional to 2,343.38, 3,515 and 612.01 is: 917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.38 : 3,515 = 612.01 : x
  2. Step 2: Convert to fraction form
    2,343.38/3,515 = 612.01/x
  3. Step 3: Cross multiply
    2,343.38x = 3,515 × 612.01
  4. Step 4: Simplify right side
    2,343.38x = 2,151,197.58
  5. Step 5: Solve for x
    x = 2,151,197.58/2,343.38
  6. Step 6: Final answer
    x = 917.99

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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.