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Finding the Fourth Proportional to 7,650.75, 10,575.72 and 6,384.45

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Solution

The fourth proportional to 7,650.75, 10,575.72 and 6,384.45 is: 8,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.75 : 10,575.72 = 6,384.45 : x
  2. Step 2: Convert to fraction form
    7,650.75/10,575.72 = 6,384.45/x
  3. Step 3: Cross multiply
    7,650.75x = 10,575.72 × 6,384.45
  4. Step 4: Simplify right side
    7,650.75x = 67,520,155.55
  5. Step 5: Solve for x
    x = 67,520,155.55/7,650.75
  6. Step 6: Final answer
    x = 8,825.30

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Half scale
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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.