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Finding the Fourth Proportional to 2,107.78, 3,162.14 and 647.06

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Solution

The fourth proportional to 2,107.78, 3,162.14 and 647.06 is: 970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.78 : 3,162.14 = 647.06 : x
  2. Step 2: Convert to fraction form
    2,107.78/3,162.14 = 647.06/x
  3. Step 3: Cross multiply
    2,107.78x = 3,162.14 × 647.06
  4. Step 4: Simplify right side
    2,107.78x = 2,046,094.31
  5. Step 5: Solve for x
    x = 2,046,094.31/2,107.78
  6. Step 6: Final answer
    x = 970.73

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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.