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Finding the Fourth Proportional to 3,098, 4,275.78 and 1,856

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Solution

The fourth proportional to 3,098, 4,275.78 and 1,856 is: 2,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098 : 4,275.78 = 1,856 : x
  2. Step 2: Convert to fraction form
    3,098/4,275.78 = 1,856/x
  3. Step 3: Cross multiply
    3,098x = 4,275.78 × 1,856
  4. Step 4: Simplify right side
    3,098x = 7,935,847.68
  5. Step 5: Solve for x
    x = 7,935,847.68/3,098
  6. Step 6: Final answer
    x = 2,561.60

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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.