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Finding the Fourth Proportional to 3,570, 4,924.74 and 2,391.36

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Solution

The fourth proportional to 3,570, 4,924.74 and 2,391.36 is: 3,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570 : 4,924.74 = 2,391.36 : x
  2. Step 2: Convert to fraction form
    3,570/4,924.74 = 2,391.36/x
  3. Step 3: Cross multiply
    3,570x = 4,924.74 × 2,391.36
  4. Step 4: Simplify right side
    3,570x = 11,776,826.25
  5. Step 5: Solve for x
    x = 11,776,826.25/3,570
  6. Step 6: Final answer
    x = 3,298.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.