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Finding the Fourth Proportional to 5,670.02, 7,805.22 and 4,919.56

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Solution

The fourth proportional to 5,670.02, 7,805.22 and 4,919.56 is: 6,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.02 : 7,805.22 = 4,919.56 : x
  2. Step 2: Convert to fraction form
    5,670.02/7,805.22 = 4,919.56/x
  3. Step 3: Cross multiply
    5,670.02x = 7,805.22 × 4,919.56
  4. Step 4: Simplify right side
    5,670.02x = 38,398,248.10
  5. Step 5: Solve for x
    x = 38,398,248.10/5,670.02
  6. Step 6: Final answer
    x = 6,772.15

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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.