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Finding the Fourth Proportional to 7,762.60, 11,643.78 and 1,919.20

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Solution

The fourth proportional to 7,762.60, 11,643.78 and 1,919.20 is: 2,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.60 : 11,643.78 = 1,919.20 : x
  2. Step 2: Convert to fraction form
    7,762.60/11,643.78 = 1,919.20/x
  3. Step 3: Cross multiply
    7,762.60x = 11,643.78 × 1,919.20
  4. Step 4: Simplify right side
    7,762.60x = 22,346,742.58
  5. Step 5: Solve for x
    x = 22,346,742.58/7,762.60
  6. Step 6: Final answer
    x = 2,878.77

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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.