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Finding the Fourth Proportional to 1,862.47, 2,790.46 and 1,276.77

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Solution

The fourth proportional to 1,862.47, 2,790.46 and 1,276.77 is: 1,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.47 : 2,790.46 = 1,276.77 : x
  2. Step 2: Convert to fraction form
    1,862.47/2,790.46 = 1,276.77/x
  3. Step 3: Cross multiply
    1,862.47x = 2,790.46 × 1,276.77
  4. Step 4: Simplify right side
    1,862.47x = 3,562,775.61
  5. Step 5: Solve for x
    x = 3,562,775.61/1,862.47
  6. Step 6: Final answer
    x = 1,912.93

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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.