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Finding the Fourth Proportional to 7,624.32, 10,509 and 5,105.52

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Solution

The fourth proportional to 7,624.32, 10,509 and 5,105.52 is: 7,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.32 : 10,509 = 5,105.52 : x
  2. Step 2: Convert to fraction form
    7,624.32/10,509 = 5,105.52/x
  3. Step 3: Cross multiply
    7,624.32x = 10,509 × 5,105.52
  4. Step 4: Simplify right side
    7,624.32x = 53,653,909.68
  5. Step 5: Solve for x
    x = 53,653,909.68/7,624.32
  6. Step 6: Final answer
    x = 7,037.21

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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.