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Finding the Fourth Proportional to 7,762.53, 11,636.75 and 3,142.37

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Solution

The fourth proportional to 7,762.53, 11,636.75 and 3,142.37 is: 4,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.53 : 11,636.75 = 3,142.37 : x
  2. Step 2: Convert to fraction form
    7,762.53/11,636.75 = 3,142.37/x
  3. Step 3: Cross multiply
    7,762.53x = 11,636.75 × 3,142.37
  4. Step 4: Simplify right side
    7,762.53x = 36,566,908.06
  5. Step 5: Solve for x
    x = 36,566,908.06/7,762.53
  6. Step 6: Final answer
    x = 4,710.70

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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.