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Finding the Fourth Proportional to 7,225.34, 9,975.62 and 6,467.78

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Solution

The fourth proportional to 7,225.34, 9,975.62 and 6,467.78 is: 8,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.34 : 9,975.62 = 6,467.78 : x
  2. Step 2: Convert to fraction form
    7,225.34/9,975.62 = 6,467.78/x
  3. Step 3: Cross multiply
    7,225.34x = 9,975.62 × 6,467.78
  4. Step 4: Simplify right side
    7,225.34x = 64,520,156.63
  5. Step 5: Solve for x
    x = 64,520,156.63/7,225.34
  6. Step 6: Final answer
    x = 8,929.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.