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Finding the Fourth Proportional to 5,764.97, 8,639.06 and 3,130.25

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Solution

The fourth proportional to 5,764.97, 8,639.06 and 3,130.25 is: 4,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.97 : 8,639.06 = 3,130.25 : x
  2. Step 2: Convert to fraction form
    5,764.97/8,639.06 = 3,130.25/x
  3. Step 3: Cross multiply
    5,764.97x = 8,639.06 × 3,130.25
  4. Step 4: Simplify right side
    5,764.97x = 27,042,358.72
  5. Step 5: Solve for x
    x = 27,042,358.72/5,764.97
  6. Step 6: Final answer
    x = 4,690.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.