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Finding the Fourth Proportional to 2,865.81, 3,954.86 and 1,870.51

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Solution

The fourth proportional to 2,865.81, 3,954.86 and 1,870.51 is: 2,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.81 : 3,954.86 = 1,870.51 : x
  2. Step 2: Convert to fraction form
    2,865.81/3,954.86 = 1,870.51/x
  3. Step 3: Cross multiply
    2,865.81x = 3,954.86 × 1,870.51
  4. Step 4: Simplify right side
    2,865.81x = 7,397,605.18
  5. Step 5: Solve for x
    x = 7,397,605.18/2,865.81
  6. Step 6: Final answer
    x = 2,581.33

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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.