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Finding the Fourth Proportional to 2,172.98, 3,258.80 and 786.15

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Solution

The fourth proportional to 2,172.98, 3,258.80 and 786.15 is: 1,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.98 : 3,258.80 = 786.15 : x
  2. Step 2: Convert to fraction form
    2,172.98/3,258.80 = 786.15/x
  3. Step 3: Cross multiply
    2,172.98x = 3,258.80 × 786.15
  4. Step 4: Simplify right side
    2,172.98x = 2,561,905.62
  5. Step 5: Solve for x
    x = 2,561,905.62/2,172.98
  6. Step 6: Final answer
    x = 1,178.98

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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.