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Finding the Fourth Proportional to 2,031.63, 3,047.70 and 644.47

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Solution

The fourth proportional to 2,031.63, 3,047.70 and 644.47 is: 966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.63 : 3,047.70 = 644.47 : x
  2. Step 2: Convert to fraction form
    2,031.63/3,047.70 = 644.47/x
  3. Step 3: Cross multiply
    2,031.63x = 3,047.70 × 644.47
  4. Step 4: Simplify right side
    2,031.63x = 1,964,160.17
  5. Step 5: Solve for x
    x = 1,964,160.17/2,031.63
  6. Step 6: Final answer
    x = 966.79

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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.