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Finding the Fourth Proportional to 16,640.49, 22,964.48 and 9,931.26

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Solution

The fourth proportional to 16,640.49, 22,964.48 and 9,931.26 is: 13,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.49 : 22,964.48 = 9,931.26 : x
  2. Step 2: Convert to fraction form
    16,640.49/22,964.48 = 9,931.26/x
  3. Step 3: Cross multiply
    16,640.49x = 22,964.48 × 9,931.26
  4. Step 4: Simplify right side
    16,640.49x = 228,066,221.64
  5. Step 5: Solve for x
    x = 228,066,221.64/16,640.49
  6. Step 6: Final answer
    x = 13,705.50

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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.