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Finding the Fourth Proportional to 17,987, 24,825.30 and 10,535

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Solution

The fourth proportional to 17,987, 24,825.30 and 10,535 is: 14,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,987 : 24,825.30 = 10,535 : x
  2. Step 2: Convert to fraction form
    17,987/24,825.30 = 10,535/x
  3. Step 3: Cross multiply
    17,987x = 24,825.30 × 10,535
  4. Step 4: Simplify right side
    17,987x = 261,534,535.50
  5. Step 5: Solve for x
    x = 261,534,535.50/17,987
  6. Step 6: Final answer
    x = 14,540.20

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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.