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Finding the Fourth Proportional to 3,447, 4,756.86 and 1,954.44

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Solution

The fourth proportional to 3,447, 4,756.86 and 1,954.44 is: 2,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447 : 4,756.86 = 1,954.44 : x
  2. Step 2: Convert to fraction form
    3,447/4,756.86 = 1,954.44/x
  3. Step 3: Cross multiply
    3,447x = 4,756.86 × 1,954.44
  4. Step 4: Simplify right side
    3,447x = 9,296,997.46
  5. Step 5: Solve for x
    x = 9,296,997.46/3,447
  6. Step 6: Final answer
    x = 2,697.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.