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Finding the Fourth Proportional to 12,745, 17,588.16 and 7,156

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Solution

The fourth proportional to 12,745, 17,588.16 and 7,156 is: 9,875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745 : 17,588.16 = 7,156 : x
  2. Step 2: Convert to fraction form
    12,745/17,588.16 = 7,156/x
  3. Step 3: Cross multiply
    12,745x = 17,588.16 × 7,156
  4. Step 4: Simplify right side
    12,745x = 125,860,872.96
  5. Step 5: Solve for x
    x = 125,860,872.96/12,745
  6. Step 6: Final answer
    x = 9,875.31

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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.