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Finding the Fourth Proportional to 2,261.55, 3,172.65 and 2,261.55

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Solution

The fourth proportional to 2,261.55, 3,172.65 and 2,261.55 is: 3,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.55 : 3,172.65 = 2,261.55 : x
  2. Step 2: Convert to fraction form
    2,261.55/3,172.65 = 2,261.55/x
  3. Step 3: Cross multiply
    2,261.55x = 3,172.65 × 2,261.55
  4. Step 4: Simplify right side
    2,261.55x = 7,175,106.61
  5. Step 5: Solve for x
    x = 7,175,106.61/2,261.55
  6. Step 6: Final answer
    x = 3,172.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.