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Finding the Fourth Proportional to 3,090.28, 4,634.94 and 898.57

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Solution

The fourth proportional to 3,090.28, 4,634.94 and 898.57 is: 1,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.28 : 4,634.94 = 898.57 : x
  2. Step 2: Convert to fraction form
    3,090.28/4,634.94 = 898.57/x
  3. Step 3: Cross multiply
    3,090.28x = 4,634.94 × 898.57
  4. Step 4: Simplify right side
    3,090.28x = 4,164,818.04
  5. Step 5: Solve for x
    x = 4,164,818.04/3,090.28
  6. Step 6: Final answer
    x = 1,347.72

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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.