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Finding the Fourth Proportional to 7,673.62, 11,509.62 and 2,478.28

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Solution

The fourth proportional to 7,673.62, 11,509.62 and 2,478.28 is: 3,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.62 : 11,509.62 = 2,478.28 : x
  2. Step 2: Convert to fraction form
    7,673.62/11,509.62 = 2,478.28/x
  3. Step 3: Cross multiply
    7,673.62x = 11,509.62 × 2,478.28
  4. Step 4: Simplify right side
    7,673.62x = 28,524,061.05
  5. Step 5: Solve for x
    x = 28,524,061.05/7,673.62
  6. Step 6: Final answer
    x = 3,717.16

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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.