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Finding the Fourth Proportional to 12,918.78, 17,823.99 and 7,252.93

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Solution

The fourth proportional to 12,918.78, 17,823.99 and 7,252.93 is: 10,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918.78 : 17,823.99 = 7,252.93 : x
  2. Step 2: Convert to fraction form
    12,918.78/17,823.99 = 7,252.93/x
  3. Step 3: Cross multiply
    12,918.78x = 17,823.99 × 7,252.93
  4. Step 4: Simplify right side
    12,918.78x = 129,276,151.79
  5. Step 5: Solve for x
    x = 129,276,151.79/12,918.78
  6. Step 6: Final answer
    x = 10,006.84

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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.