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Finding the Fourth Proportional to 2,772.68, 4,138.72 and 2,444.63

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Solution

The fourth proportional to 2,772.68, 4,138.72 and 2,444.63 is: 3,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.68 : 4,138.72 = 2,444.63 : x
  2. Step 2: Convert to fraction form
    2,772.68/4,138.72 = 2,444.63/x
  3. Step 3: Cross multiply
    2,772.68x = 4,138.72 × 2,444.63
  4. Step 4: Simplify right side
    2,772.68x = 10,117,639.07
  5. Step 5: Solve for x
    x = 10,117,639.07/2,772.68
  6. Step 6: Final answer
    x = 3,649.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.