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Finding the Fourth Proportional to 10,643.78, 14,688.06 and 5,927.96

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Solution

The fourth proportional to 10,643.78, 14,688.06 and 5,927.96 is: 8,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.78 : 14,688.06 = 5,927.96 : x
  2. Step 2: Convert to fraction form
    10,643.78/14,688.06 = 5,927.96/x
  3. Step 3: Cross multiply
    10,643.78x = 14,688.06 × 5,927.96
  4. Step 4: Simplify right side
    10,643.78x = 87,070,232.16
  5. Step 5: Solve for x
    x = 87,070,232.16/10,643.78
  6. Step 6: Final answer
    x = 8,180.39

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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.