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Finding the Fourth Proportional to 2,013, 2,776.31 and 1,417.47

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Solution

The fourth proportional to 2,013, 2,776.31 and 1,417.47 is: 1,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013 : 2,776.31 = 1,417.47 : x
  2. Step 2: Convert to fraction form
    2,013/2,776.31 = 1,417.47/x
  3. Step 3: Cross multiply
    2,013x = 2,776.31 × 1,417.47
  4. Step 4: Simplify right side
    2,013x = 3,935,329.05
  5. Step 5: Solve for x
    x = 3,935,329.05/2,013
  6. Step 6: Final answer
    x = 1,954.96

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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.