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Finding the Fourth Proportional to 7,578.68, 11,312.44 and 7,022.78

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Solution

The fourth proportional to 7,578.68, 11,312.44 and 7,022.78 is: 10,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.68 : 11,312.44 = 7,022.78 : x
  2. Step 2: Convert to fraction form
    7,578.68/11,312.44 = 7,022.78/x
  3. Step 3: Cross multiply
    7,578.68x = 11,312.44 × 7,022.78
  4. Step 4: Simplify right side
    7,578.68x = 79,444,777.38
  5. Step 5: Solve for x
    x = 79,444,777.38/7,578.68
  6. Step 6: Final answer
    x = 10,482.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.