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Finding the Fourth Proportional to 1,862.70, 2,792.67 and 889.48

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Solution

The fourth proportional to 1,862.70, 2,792.67 and 889.48 is: 1,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.70 : 2,792.67 = 889.48 : x
  2. Step 2: Convert to fraction form
    1,862.70/2,792.67 = 889.48/x
  3. Step 3: Cross multiply
    1,862.70x = 2,792.67 × 889.48
  4. Step 4: Simplify right side
    1,862.70x = 2,484,024.11
  5. Step 5: Solve for x
    x = 2,484,024.11/1,862.70
  6. Step 6: Final answer
    x = 1,333.56

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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.