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Finding the Fourth Proportional to 1,866.76, 2,800.75 and 892.94

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Solution

The fourth proportional to 1,866.76, 2,800.75 and 892.94 is: 1,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.76 : 2,800.75 = 892.94 : x
  2. Step 2: Convert to fraction form
    1,866.76/2,800.75 = 892.94/x
  3. Step 3: Cross multiply
    1,866.76x = 2,800.75 × 892.94
  4. Step 4: Simplify right side
    1,866.76x = 2,500,892.47
  5. Step 5: Solve for x
    x = 2,500,892.47/1,866.76
  6. Step 6: Final answer
    x = 1,339.70

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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.