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Finding the Fourth Proportional to 7,857.10, 10,839.03 and 5,728.06

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Solution

The fourth proportional to 7,857.10, 10,839.03 and 5,728.06 is: 7,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.10 : 10,839.03 = 5,728.06 : x
  2. Step 2: Convert to fraction form
    7,857.10/10,839.03 = 5,728.06/x
  3. Step 3: Cross multiply
    7,857.10x = 10,839.03 × 5,728.06
  4. Step 4: Simplify right side
    7,857.10x = 62,086,614.18
  5. Step 5: Solve for x
    x = 62,086,614.18/7,857.10
  6. Step 6: Final answer
    x = 7,901.98

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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.