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Finding the Fourth Proportional to 2,867.65, 3,957.47 and 1,859.58

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Solution

The fourth proportional to 2,867.65, 3,957.47 and 1,859.58 is: 2,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.65 : 3,957.47 = 1,859.58 : x
  2. Step 2: Convert to fraction form
    2,867.65/3,957.47 = 1,859.58/x
  3. Step 3: Cross multiply
    2,867.65x = 3,957.47 × 1,859.58
  4. Step 4: Simplify right side
    2,867.65x = 7,359,232.06
  5. Step 5: Solve for x
    x = 7,359,232.06/2,867.65
  6. Step 6: Final answer
    x = 2,566.29

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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.