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Finding the Fourth Proportional to 2,030.13, 3,045.06 and 643.43

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Solution

The fourth proportional to 2,030.13, 3,045.06 and 643.43 is: 965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.13 : 3,045.06 = 643.43 : x
  2. Step 2: Convert to fraction form
    2,030.13/3,045.06 = 643.43/x
  3. Step 3: Cross multiply
    2,030.13x = 3,045.06 × 643.43
  4. Step 4: Simplify right side
    2,030.13x = 1,959,290.57
  5. Step 5: Solve for x
    x = 1,959,290.57/2,030.13
  6. Step 6: Final answer
    x = 965.11

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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.