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Finding the Fourth Proportional to 2,127.97, 3,191.86 and 647.13

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Solution

The fourth proportional to 2,127.97, 3,191.86 and 647.13 is: 970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.97 : 3,191.86 = 647.13 : x
  2. Step 2: Convert to fraction form
    2,127.97/3,191.86 = 647.13/x
  3. Step 3: Cross multiply
    2,127.97x = 3,191.86 × 647.13
  4. Step 4: Simplify right side
    2,127.97x = 2,065,548.36
  5. Step 5: Solve for x
    x = 2,065,548.36/2,127.97
  6. Step 6: Final answer
    x = 970.67

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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.