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Finding the Fourth Proportional to 1,866.70, 2,822.14 and 1,851.34

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Solution

The fourth proportional to 1,866.70, 2,822.14 and 1,851.34 is: 2,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.70 : 2,822.14 = 1,851.34 : x
  2. Step 2: Convert to fraction form
    1,866.70/2,822.14 = 1,851.34/x
  3. Step 3: Cross multiply
    1,866.70x = 2,822.14 × 1,851.34
  4. Step 4: Simplify right side
    1,866.70x = 5,224,740.67
  5. Step 5: Solve for x
    x = 5,224,740.67/1,866.70
  6. Step 6: Final answer
    x = 2,798.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.