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Finding the Fourth Proportional to 7,750.81, 11,627.43 and 3,068.47

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Solution

The fourth proportional to 7,750.81, 11,627.43 and 3,068.47 is: 4,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.81 : 11,627.43 = 3,068.47 : x
  2. Step 2: Convert to fraction form
    7,750.81/11,627.43 = 3,068.47/x
  3. Step 3: Cross multiply
    7,750.81x = 11,627.43 × 3,068.47
  4. Step 4: Simplify right side
    7,750.81x = 35,678,420.13
  5. Step 5: Solve for x
    x = 35,678,420.13/7,750.81
  6. Step 6: Final answer
    x = 4,603.19

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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.