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Finding the Fourth Proportional to 15,645, 23,467.25 and 3,798.87

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Solution

The fourth proportional to 15,645, 23,467.25 and 3,798.87 is: 5,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645 : 23,467.25 = 3,798.87 : x
  2. Step 2: Convert to fraction form
    15,645/23,467.25 = 3,798.87/x
  3. Step 3: Cross multiply
    15,645x = 23,467.25 × 3,798.87
  4. Step 4: Simplify right side
    15,645x = 89,149,013.01
  5. Step 5: Solve for x
    x = 89,149,013.01/15,645
  6. Step 6: Final answer
    x = 5,698.24

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Half scale
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Double scale
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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.