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Finding the Fourth Proportional to 7,769.64, 10,723 and 4,625.80

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Solution

The fourth proportional to 7,769.64, 10,723 and 4,625.80 is: 6,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.64 : 10,723 = 4,625.80 : x
  2. Step 2: Convert to fraction form
    7,769.64/10,723 = 4,625.80/x
  3. Step 3: Cross multiply
    7,769.64x = 10,723 × 4,625.80
  4. Step 4: Simplify right side
    7,769.64x = 49,602,453.40
  5. Step 5: Solve for x
    x = 49,602,453.40/7,769.64
  6. Step 6: Final answer
    x = 6,384.14

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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.