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Finding the Fourth Proportional to 7,762.41, 11,643.48 and 1,919.03

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Solution

The fourth proportional to 7,762.41, 11,643.48 and 1,919.03 is: 2,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.41 : 11,643.48 = 1,919.03 : x
  2. Step 2: Convert to fraction form
    7,762.41/11,643.48 = 1,919.03/x
  3. Step 3: Cross multiply
    7,762.41x = 11,643.48 × 1,919.03
  4. Step 4: Simplify right side
    7,762.41x = 22,344,129.21
  5. Step 5: Solve for x
    x = 22,344,129.21/7,762.41
  6. Step 6: Final answer
    x = 2,878.50

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1.5x scale

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.