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Finding the Fourth Proportional to 2,076.76, 2,866.02 and 1,237.24

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Solution

The fourth proportional to 2,076.76, 2,866.02 and 1,237.24 is: 1,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.76 : 2,866.02 = 1,237.24 : x
  2. Step 2: Convert to fraction form
    2,076.76/2,866.02 = 1,237.24/x
  3. Step 3: Cross multiply
    2,076.76x = 2,866.02 × 1,237.24
  4. Step 4: Simplify right side
    2,076.76x = 3,545,954.58
  5. Step 5: Solve for x
    x = 3,545,954.58/2,076.76
  6. Step 6: Final answer
    x = 1,707.45

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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.