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Finding the Fourth Proportional to 7,704.88, 10,685.47 and 7,223.74

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Solution

The fourth proportional to 7,704.88, 10,685.47 and 7,223.74 is: 10,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.88 : 10,685.47 = 7,223.74 : x
  2. Step 2: Convert to fraction form
    7,704.88/10,685.47 = 7,223.74/x
  3. Step 3: Cross multiply
    7,704.88x = 10,685.47 × 7,223.74
  4. Step 4: Simplify right side
    7,704.88x = 77,189,057.06
  5. Step 5: Solve for x
    x = 77,189,057.06/7,704.88
  6. Step 6: Final answer
    x = 10,018.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.