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Finding the Fourth Proportional to 4,287.90, 6,434.93 and 1,824.45

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Solution

The fourth proportional to 4,287.90, 6,434.93 and 1,824.45 is: 2,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.90 : 6,434.93 = 1,824.45 : x
  2. Step 2: Convert to fraction form
    4,287.90/6,434.93 = 1,824.45/x
  3. Step 3: Cross multiply
    4,287.90x = 6,434.93 × 1,824.45
  4. Step 4: Simplify right side
    4,287.90x = 11,740,233.31
  5. Step 5: Solve for x
    x = 11,740,233.31/4,287.90
  6. Step 6: Final answer
    x = 2,737.99

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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.