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Finding the Fourth Proportional to 2,112.25, 3,168.80 and 651.34

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Solution

The fourth proportional to 2,112.25, 3,168.80 and 651.34 is: 977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.25 : 3,168.80 = 651.34 : x
  2. Step 2: Convert to fraction form
    2,112.25/3,168.80 = 651.34/x
  3. Step 3: Cross multiply
    2,112.25x = 3,168.80 × 651.34
  4. Step 4: Simplify right side
    2,112.25x = 2,063,966.19
  5. Step 5: Solve for x
    x = 2,063,966.19/2,112.25
  6. Step 6: Final answer
    x = 977.14

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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.