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Finding the Fourth Proportional to 12,365, 17,063.70 and 6,776

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Solution

The fourth proportional to 12,365, 17,063.70 and 6,776 is: 9,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365 : 17,063.70 = 6,776 : x
  2. Step 2: Convert to fraction form
    12,365/17,063.70 = 6,776/x
  3. Step 3: Cross multiply
    12,365x = 17,063.70 × 6,776
  4. Step 4: Simplify right side
    12,365x = 115,623,631.20
  5. Step 5: Solve for x
    x = 115,623,631.20/12,365
  6. Step 6: Final answer
    x = 9,350.88

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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.