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Finding the Fourth Proportional to 22,742.04, 31,383.64 and 12,671.20

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Solution

The fourth proportional to 22,742.04, 31,383.64 and 12,671.20 is: 17,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.04 : 31,383.64 = 12,671.20 : x
  2. Step 2: Convert to fraction form
    22,742.04/31,383.64 = 12,671.20/x
  3. Step 3: Cross multiply
    22,742.04x = 31,383.64 × 12,671.20
  4. Step 4: Simplify right side
    22,742.04x = 397,668,379.17
  5. Step 5: Solve for x
    x = 397,668,379.17/22,742.04
  6. Step 6: Final answer
    x = 17,486.05

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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.