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Finding the Fourth Proportional to 5,777.40, 7,970.22 and 3,911.16

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Solution

The fourth proportional to 5,777.40, 7,970.22 and 3,911.16 is: 5,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.40 : 7,970.22 = 3,911.16 : x
  2. Step 2: Convert to fraction form
    5,777.40/7,970.22 = 3,911.16/x
  3. Step 3: Cross multiply
    5,777.40x = 7,970.22 × 3,911.16
  4. Step 4: Simplify right side
    5,777.40x = 31,172,805.66
  5. Step 5: Solve for x
    x = 31,172,805.66/5,777.40
  6. Step 6: Final answer
    x = 5,395.65

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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.