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Finding the Fourth Proportional to 12,916, 17,827.32 and 7,608.88

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Solution

The fourth proportional to 12,916, 17,827.32 and 7,608.88 is: 10,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916 : 17,827.32 = 7,608.88 : x
  2. Step 2: Convert to fraction form
    12,916/17,827.32 = 7,608.88/x
  3. Step 3: Cross multiply
    12,916x = 17,827.32 × 7,608.88
  4. Step 4: Simplify right side
    12,916x = 135,645,938.60
  5. Step 5: Solve for x
    x = 135,645,938.60/12,916
  6. Step 6: Final answer
    x = 10,502.16

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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.