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Finding the Fourth Proportional to 3,988.94, 5,983.65 and 1,215.81

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Solution

The fourth proportional to 3,988.94, 5,983.65 and 1,215.81 is: 1,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.94 : 5,983.65 = 1,215.81 : x
  2. Step 2: Convert to fraction form
    3,988.94/5,983.65 = 1,215.81/x
  3. Step 3: Cross multiply
    3,988.94x = 5,983.65 × 1,215.81
  4. Step 4: Simplify right side
    3,988.94x = 7,274,981.51
  5. Step 5: Solve for x
    x = 7,274,981.51/3,988.94
  6. Step 6: Final answer
    x = 1,823.79

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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.