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Finding the Fourth Proportional to 10,296, 15,444.14 and 3,370.50

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Solution

The fourth proportional to 10,296, 15,444.14 and 3,370.50 is: 5,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 15,444.14 = 3,370.50 : x
  2. Step 2: Convert to fraction form
    10,296/15,444.14 = 3,370.50/x
  3. Step 3: Cross multiply
    10,296x = 15,444.14 × 3,370.50
  4. Step 4: Simplify right side
    10,296x = 52,054,457.02
  5. Step 5: Solve for x
    x = 52,054,457.02/10,296
  6. Step 6: Final answer
    x = 5,055.79

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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.