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Finding the Fourth Proportional to 7,223, 10,816.14 and 6,557.36

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Solution

The fourth proportional to 7,223, 10,816.14 and 6,557.36 is: 9,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223 : 10,816.14 = 6,557.36 : x
  2. Step 2: Convert to fraction form
    7,223/10,816.14 = 6,557.36/x
  3. Step 3: Cross multiply
    7,223x = 10,816.14 × 6,557.36
  4. Step 4: Simplify right side
    7,223x = 70,925,323.79
  5. Step 5: Solve for x
    x = 70,925,323.79/7,223
  6. Step 6: Final answer
    x = 9,819.37

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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.