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Finding the Fourth Proportional to 22,477.68, 31,004.76 and 13,645.68

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Solution

The fourth proportional to 22,477.68, 31,004.76 and 13,645.68 is: 18,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.68 : 31,004.76 = 13,645.68 : x
  2. Step 2: Convert to fraction form
    22,477.68/31,004.76 = 13,645.68/x
  3. Step 3: Cross multiply
    22,477.68x = 31,004.76 × 13,645.68
  4. Step 4: Simplify right side
    22,477.68x = 423,081,033.44
  5. Step 5: Solve for x
    x = 423,081,033.44/22,477.68
  6. Step 6: Final answer
    x = 18,822.27

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Half scale
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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.