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Finding the Fourth Proportional to 2,176, 3,001.65 and 1,337.11

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Solution

The fourth proportional to 2,176, 3,001.65 and 1,337.11 is: 1,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176 : 3,001.65 = 1,337.11 : x
  2. Step 2: Convert to fraction form
    2,176/3,001.65 = 1,337.11/x
  3. Step 3: Cross multiply
    2,176x = 3,001.65 × 1,337.11
  4. Step 4: Simplify right side
    2,176x = 4,013,536.23
  5. Step 5: Solve for x
    x = 4,013,536.23/2,176
  6. Step 6: Final answer
    x = 1,844.46

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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.