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Finding the Fourth Proportional to 6,859.66, 10,288.68 and 2,699.50

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Solution

The fourth proportional to 6,859.66, 10,288.68 and 2,699.50 is: 4,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.66 : 10,288.68 = 2,699.50 : x
  2. Step 2: Convert to fraction form
    6,859.66/10,288.68 = 2,699.50/x
  3. Step 3: Cross multiply
    6,859.66x = 10,288.68 × 2,699.50
  4. Step 4: Simplify right side
    6,859.66x = 27,774,291.66
  5. Step 5: Solve for x
    x = 27,774,291.66/6,859.66
  6. Step 6: Final answer
    x = 4,048.93

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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.