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Finding the Fourth Proportional to 7,776.53, 11,655.07 and 6,126.56

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Solution

The fourth proportional to 7,776.53, 11,655.07 and 6,126.56 is: 9,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.53 : 11,655.07 = 6,126.56 : x
  2. Step 2: Convert to fraction form
    7,776.53/11,655.07 = 6,126.56/x
  3. Step 3: Cross multiply
    7,776.53x = 11,655.07 × 6,126.56
  4. Step 4: Simplify right side
    7,776.53x = 71,405,412.07
  5. Step 5: Solve for x
    x = 71,405,412.07/7,776.53
  6. Step 6: Final answer
    x = 9,182.17

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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.