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Finding the Fourth Proportional to 7,762.68, 11,643.69 and 1,919.14

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Solution

The fourth proportional to 7,762.68, 11,643.69 and 1,919.14 is: 2,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.68 : 11,643.69 = 1,919.14 : x
  2. Step 2: Convert to fraction form
    7,762.68/11,643.69 = 1,919.14/x
  3. Step 3: Cross multiply
    7,762.68x = 11,643.69 × 1,919.14
  4. Step 4: Simplify right side
    7,762.68x = 22,345,871.23
  5. Step 5: Solve for x
    x = 22,345,871.23/7,762.68
  6. Step 6: Final answer
    x = 2,878.63

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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.