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Finding the Fourth Proportional to 9,721.60, 14,571.60 and 5,342.20

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Solution

The fourth proportional to 9,721.60, 14,571.60 and 5,342.20 is: 8,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.60 : 14,571.60 = 5,342.20 : x
  2. Step 2: Convert to fraction form
    9,721.60/14,571.60 = 5,342.20/x
  3. Step 3: Cross multiply
    9,721.60x = 14,571.60 × 5,342.20
  4. Step 4: Simplify right side
    9,721.60x = 77,844,401.52
  5. Step 5: Solve for x
    x = 77,844,401.52/9,721.60
  6. Step 6: Final answer
    x = 8,007.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.