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Finding the Fourth Proportional to 7,420, 11,130 and 2,225.76

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Solution

The fourth proportional to 7,420, 11,130 and 2,225.76 is: 3,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 11,130 = 2,225.76 : x
  2. Step 2: Convert to fraction form
    7,420/11,130 = 2,225.76/x
  3. Step 3: Cross multiply
    7,420x = 11,130 × 2,225.76
  4. Step 4: Simplify right side
    7,420x = 24,772,708.80
  5. Step 5: Solve for x
    x = 24,772,708.80/7,420
  6. Step 6: Final answer
    x = 3,338.64

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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.