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Finding the Fourth Proportional to 2,866.57, 3,955.91 and 1,607.90

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Solution

The fourth proportional to 2,866.57, 3,955.91 and 1,607.90 is: 2,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.57 : 3,955.91 = 1,607.90 : x
  2. Step 2: Convert to fraction form
    2,866.57/3,955.91 = 1,607.90/x
  3. Step 3: Cross multiply
    2,866.57x = 3,955.91 × 1,607.90
  4. Step 4: Simplify right side
    2,866.57x = 6,360,699.65
  5. Step 5: Solve for x
    x = 6,360,699.65/2,866.57
  6. Step 6: Final answer
    x = 2,218.93

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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.