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Finding the Fourth Proportional to 14,487, 19,992.30 and 7,863

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Solution

The fourth proportional to 14,487, 19,992.30 and 7,863 is: 10,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487 : 19,992.30 = 7,863 : x
  2. Step 2: Convert to fraction form
    14,487/19,992.30 = 7,863/x
  3. Step 3: Cross multiply
    14,487x = 19,992.30 × 7,863
  4. Step 4: Simplify right side
    14,487x = 157,199,454.90
  5. Step 5: Solve for x
    x = 157,199,454.90/14,487
  6. Step 6: Final answer
    x = 10,851.07

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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.