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Finding the Fourth Proportional to 11,953, 16,495.14 and 6,985

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Solution

The fourth proportional to 11,953, 16,495.14 and 6,985 is: 9,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953 : 16,495.14 = 6,985 : x
  2. Step 2: Convert to fraction form
    11,953/16,495.14 = 6,985/x
  3. Step 3: Cross multiply
    11,953x = 16,495.14 × 6,985
  4. Step 4: Simplify right side
    11,953x = 115,218,552.90
  5. Step 5: Solve for x
    x = 115,218,552.90/11,953
  6. Step 6: Final answer
    x = 9,639.30

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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.