Home / 22,853.82-31,539.13-12,782.24

Finding the Fourth Proportional to 22,853.82, 31,539.13 and 12,782.24

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Solution

The fourth proportional to 22,853.82, 31,539.13 and 12,782.24 is: 17,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.82 : 31,539.13 = 12,782.24 : x
  2. Step 2: Convert to fraction form
    22,853.82/31,539.13 = 12,782.24/x
  3. Step 3: Cross multiply
    22,853.82x = 31,539.13 × 12,782.24
  4. Step 4: Simplify right side
    22,853.82x = 403,140,729.05
  5. Step 5: Solve for x
    x = 403,140,729.05/22,853.82
  6. Step 6: Final answer
    x = 17,639.97

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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.