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Finding the Fourth Proportional to 7,477.74, 11,225.07 and 3,784.14

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Solution

The fourth proportional to 7,477.74, 11,225.07 and 3,784.14 is: 5,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.74 : 11,225.07 = 3,784.14 : x
  2. Step 2: Convert to fraction form
    7,477.74/11,225.07 = 3,784.14/x
  3. Step 3: Cross multiply
    7,477.74x = 11,225.07 × 3,784.14
  4. Step 4: Simplify right side
    7,477.74x = 42,477,236.39
  5. Step 5: Solve for x
    x = 42,477,236.39/7,477.74
  6. Step 6: Final answer
    x = 5,680.49

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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.