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Finding the Fourth Proportional to 4,938.60, 6,809.22 and 4,238.76

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Solution

The fourth proportional to 4,938.60, 6,809.22 and 4,238.76 is: 5,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.60 : 6,809.22 = 4,238.76 : x
  2. Step 2: Convert to fraction form
    4,938.60/6,809.22 = 4,238.76/x
  3. Step 3: Cross multiply
    4,938.60x = 6,809.22 × 4,238.76
  4. Step 4: Simplify right side
    4,938.60x = 28,862,649.37
  5. Step 5: Solve for x
    x = 28,862,649.37/4,938.60
  6. Step 6: Final answer
    x = 5,844.30

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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.