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Finding the Fourth Proportional to 2,030.09, 3,045.11 and 643.42

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Solution

The fourth proportional to 2,030.09, 3,045.11 and 643.42 is: 965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.09 : 3,045.11 = 643.42 : x
  2. Step 2: Convert to fraction form
    2,030.09/3,045.11 = 643.42/x
  3. Step 3: Cross multiply
    2,030.09x = 3,045.11 × 643.42
  4. Step 4: Simplify right side
    2,030.09x = 1,959,281.46
  5. Step 5: Solve for x
    x = 1,959,281.46/2,030.09
  6. Step 6: Final answer
    x = 965.12

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1.5x scale

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.