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Finding the Fourth Proportional to 4,942, 6,820.08 and 3,080.08

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Solution

The fourth proportional to 4,942, 6,820.08 and 3,080.08 is: 4,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942 : 6,820.08 = 3,080.08 : x
  2. Step 2: Convert to fraction form
    4,942/6,820.08 = 3,080.08/x
  3. Step 3: Cross multiply
    4,942x = 6,820.08 × 3,080.08
  4. Step 4: Simplify right side
    4,942x = 21,006,392.01
  5. Step 5: Solve for x
    x = 21,006,392.01/4,942
  6. Step 6: Final answer
    x = 4,250.59

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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.