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Finding the Fourth Proportional to 2,866.96, 3,957.28 and 1,870.48

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Solution

The fourth proportional to 2,866.96, 3,957.28 and 1,870.48 is: 2,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.96 : 3,957.28 = 1,870.48 : x
  2. Step 2: Convert to fraction form
    2,866.96/3,957.28 = 1,870.48/x
  3. Step 3: Cross multiply
    2,866.96x = 3,957.28 × 1,870.48
  4. Step 4: Simplify right side
    2,866.96x = 7,402,013.09
  5. Step 5: Solve for x
    x = 7,402,013.09/2,866.96
  6. Step 6: Final answer
    x = 2,581.83

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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.