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Finding the Fourth Proportional to 10,953, 15,115.14 and 5,985

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Solution

The fourth proportional to 10,953, 15,115.14 and 5,985 is: 8,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953 : 15,115.14 = 5,985 : x
  2. Step 2: Convert to fraction form
    10,953/15,115.14 = 5,985/x
  3. Step 3: Cross multiply
    10,953x = 15,115.14 × 5,985
  4. Step 4: Simplify right side
    10,953x = 90,464,112.90
  5. Step 5: Solve for x
    x = 90,464,112.90/10,953
  6. Step 6: Final answer
    x = 8,259.30

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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.