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Finding the Fourth Proportional to 2,031.67, 3,048.02 and 645.02

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Solution

The fourth proportional to 2,031.67, 3,048.02 and 645.02 is: 967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.67 : 3,048.02 = 645.02 : x
  2. Step 2: Convert to fraction form
    2,031.67/3,048.02 = 645.02/x
  3. Step 3: Cross multiply
    2,031.67x = 3,048.02 × 645.02
  4. Step 4: Simplify right side
    2,031.67x = 1,966,033.86
  5. Step 5: Solve for x
    x = 1,966,033.86/2,031.67
  6. Step 6: Final answer
    x = 967.69

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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.