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Finding the Fourth Proportional to 10,718, 14,790.88 and 6,992

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Solution

The fourth proportional to 10,718, 14,790.88 and 6,992 is: 9,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718 : 14,790.88 = 6,992 : x
  2. Step 2: Convert to fraction form
    10,718/14,790.88 = 6,992/x
  3. Step 3: Cross multiply
    10,718x = 14,790.88 × 6,992
  4. Step 4: Simplify right side
    10,718x = 103,417,832.96
  5. Step 5: Solve for x
    x = 103,417,832.96/10,718
  6. Step 6: Final answer
    x = 9,648.99

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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.