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Finding the Fourth Proportional to 2,047.90, 3,072.30 and 661.30

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Solution

The fourth proportional to 2,047.90, 3,072.30 and 661.30 is: 992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.90 : 3,072.30 = 661.30 : x
  2. Step 2: Convert to fraction form
    2,047.90/3,072.30 = 661.30/x
  3. Step 3: Cross multiply
    2,047.90x = 3,072.30 × 661.30
  4. Step 4: Simplify right side
    2,047.90x = 2,031,711.99
  5. Step 5: Solve for x
    x = 2,031,711.99/2,047.90
  6. Step 6: Final answer
    x = 992.10

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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.