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Finding the Fourth Proportional to 7,745, 10,680.86 and 5,973.80

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Solution

The fourth proportional to 7,745, 10,680.86 and 5,973.80 is: 8,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745 : 10,680.86 = 5,973.80 : x
  2. Step 2: Convert to fraction form
    7,745/10,680.86 = 5,973.80/x
  3. Step 3: Cross multiply
    7,745x = 10,680.86 × 5,973.80
  4. Step 4: Simplify right side
    7,745x = 63,805,321.47
  5. Step 5: Solve for x
    x = 63,805,321.47/7,745
  6. Step 6: Final answer
    x = 8,238.26

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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.