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Finding the Fourth Proportional to 10,309.86, 15,427.88 and 8,927.98

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Solution

The fourth proportional to 10,309.86, 15,427.88 and 8,927.98 is: 13,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.86 : 15,427.88 = 8,927.98 : x
  2. Step 2: Convert to fraction form
    10,309.86/15,427.88 = 8,927.98/x
  3. Step 3: Cross multiply
    10,309.86x = 15,427.88 × 8,927.98
  4. Step 4: Simplify right side
    10,309.86x = 137,739,804.08
  5. Step 5: Solve for x
    x = 137,739,804.08/10,309.86
  6. Step 6: Final answer
    x = 13,360.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.