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Finding the Fourth Proportional to 3,547.74, 5,313.09 and 1,983.90

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Solution

The fourth proportional to 3,547.74, 5,313.09 and 1,983.90 is: 2,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.74 : 5,313.09 = 1,983.90 : x
  2. Step 2: Convert to fraction form
    3,547.74/5,313.09 = 1,983.90/x
  3. Step 3: Cross multiply
    3,547.74x = 5,313.09 × 1,983.90
  4. Step 4: Simplify right side
    3,547.74x = 10,540,639.25
  5. Step 5: Solve for x
    x = 10,540,639.25/3,547.74
  6. Step 6: Final answer
    x = 2,971.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.