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Finding the Fourth Proportional to 10,499.56, 15,746.89 and 6,739.99

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Solution

The fourth proportional to 10,499.56, 15,746.89 and 6,739.99 is: 10,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.56 : 15,746.89 = 6,739.99 : x
  2. Step 2: Convert to fraction form
    10,499.56/15,746.89 = 6,739.99/x
  3. Step 3: Cross multiply
    10,499.56x = 15,746.89 × 6,739.99
  4. Step 4: Simplify right side
    10,499.56x = 106,133,881.13
  5. Step 5: Solve for x
    x = 106,133,881.13/10,499.56
  6. Step 6: Final answer
    x = 10,108.41

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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.