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Finding the Fourth Proportional to 2,384.08, 3,575.40 and 902.81

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Solution

The fourth proportional to 2,384.08, 3,575.40 and 902.81 is: 1,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.08 : 3,575.40 = 902.81 : x
  2. Step 2: Convert to fraction form
    2,384.08/3,575.40 = 902.81/x
  3. Step 3: Cross multiply
    2,384.08x = 3,575.40 × 902.81
  4. Step 4: Simplify right side
    2,384.08x = 3,227,889.00
  5. Step 5: Solve for x
    x = 3,227,889.00/2,384.08
  6. Step 6: Final answer
    x = 1,353.94

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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.