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Finding the Fourth Proportional to 1,854.72, 2,772 and 1,465.92

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Solution

The fourth proportional to 1,854.72, 2,772 and 1,465.92 is: 2,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.72 : 2,772 = 1,465.92 : x
  2. Step 2: Convert to fraction form
    1,854.72/2,772 = 1,465.92/x
  3. Step 3: Cross multiply
    1,854.72x = 2,772 × 1,465.92
  4. Step 4: Simplify right side
    1,854.72x = 4,063,530.24
  5. Step 5: Solve for x
    x = 4,063,530.24/1,854.72
  6. Step 6: Final answer
    x = 2,190.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.