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Finding the Fourth Proportional to 7,769.00, 10,721.10 and 4,232.13

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Solution

The fourth proportional to 7,769.00, 10,721.10 and 4,232.13 is: 5,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.00 : 10,721.10 = 4,232.13 : x
  2. Step 2: Convert to fraction form
    7,769.00/10,721.10 = 4,232.13/x
  3. Step 3: Cross multiply
    7,769.00x = 10,721.10 × 4,232.13
  4. Step 4: Simplify right side
    7,769.00x = 45,373,088.94
  5. Step 5: Solve for x
    x = 45,373,088.94/7,769.00
  6. Step 6: Final answer
    x = 5,840.28

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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.