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Finding the Fourth Proportional to 3,447.66, 5,172.40 and 1,803.76

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Solution

The fourth proportional to 3,447.66, 5,172.40 and 1,803.76 is: 2,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.66 : 5,172.40 = 1,803.76 : x
  2. Step 2: Convert to fraction form
    3,447.66/5,172.40 = 1,803.76/x
  3. Step 3: Cross multiply
    3,447.66x = 5,172.40 × 1,803.76
  4. Step 4: Simplify right side
    3,447.66x = 9,329,768.22
  5. Step 5: Solve for x
    x = 9,329,768.22/3,447.66
  6. Step 6: Final answer
    x = 2,706.12

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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.