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Finding the Fourth Proportional to 7,475.81, 11,220.64 and 3,780.64

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Solution

The fourth proportional to 7,475.81, 11,220.64 and 3,780.64 is: 5,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.81 : 11,220.64 = 3,780.64 : x
  2. Step 2: Convert to fraction form
    7,475.81/11,220.64 = 3,780.64/x
  3. Step 3: Cross multiply
    7,475.81x = 11,220.64 × 3,780.64
  4. Step 4: Simplify right side
    7,475.81x = 42,421,162.91
  5. Step 5: Solve for x
    x = 42,421,162.91/7,475.81
  6. Step 6: Final answer
    x = 5,674.46

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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.