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Finding the Fourth Proportional to 1,862.64, 2,569.86 and 1,391.22

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Solution

The fourth proportional to 1,862.64, 2,569.86 and 1,391.22 is: 1,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.64 : 2,569.86 = 1,391.22 : x
  2. Step 2: Convert to fraction form
    1,862.64/2,569.86 = 1,391.22/x
  3. Step 3: Cross multiply
    1,862.64x = 2,569.86 × 1,391.22
  4. Step 4: Simplify right side
    1,862.64x = 3,575,240.63
  5. Step 5: Solve for x
    x = 3,575,240.63/1,862.64
  6. Step 6: Final answer
    x = 1,919.45

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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.