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Finding the Fourth Proportional to 2,043, 2,807.10 and 1,668.96

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Solution

The fourth proportional to 2,043, 2,807.10 and 1,668.96 is: 2,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043 : 2,807.10 = 1,668.96 : x
  2. Step 2: Convert to fraction form
    2,043/2,807.10 = 1,668.96/x
  3. Step 3: Cross multiply
    2,043x = 2,807.10 × 1,668.96
  4. Step 4: Simplify right side
    2,043x = 4,684,937.62
  5. Step 5: Solve for x
    x = 4,684,937.62/2,043
  6. Step 6: Final answer
    x = 2,293.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.