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Finding the Fourth Proportional to 5,415.70, 8,124.22 and 1,904.88

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Solution

The fourth proportional to 5,415.70, 8,124.22 and 1,904.88 is: 2,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.70 : 8,124.22 = 1,904.88 : x
  2. Step 2: Convert to fraction form
    5,415.70/8,124.22 = 1,904.88/x
  3. Step 3: Cross multiply
    5,415.70x = 8,124.22 × 1,904.88
  4. Step 4: Simplify right side
    5,415.70x = 15,475,636.11
  5. Step 5: Solve for x
    x = 15,475,636.11/5,415.70
  6. Step 6: Final answer
    x = 2,857.55

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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.