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Finding the Fourth Proportional to 7,172.16, 9,902.22 and 6,424.80

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Solution

The fourth proportional to 7,172.16, 9,902.22 and 6,424.80 is: 8,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.16 : 9,902.22 = 6,424.80 : x
  2. Step 2: Convert to fraction form
    7,172.16/9,902.22 = 6,424.80/x
  3. Step 3: Cross multiply
    7,172.16x = 9,902.22 × 6,424.80
  4. Step 4: Simplify right side
    7,172.16x = 63,619,783.06
  5. Step 5: Solve for x
    x = 63,619,783.06/7,172.16
  6. Step 6: Final answer
    x = 8,870.38

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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.