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Finding the Fourth Proportional to 7,641.90, 11,465.76 and 3,941.77

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Solution

The fourth proportional to 7,641.90, 11,465.76 and 3,941.77 is: 5,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.90 : 11,465.76 = 3,941.77 : x
  2. Step 2: Convert to fraction form
    7,641.90/11,465.76 = 3,941.77/x
  3. Step 3: Cross multiply
    7,641.90x = 11,465.76 × 3,941.77
  4. Step 4: Simplify right side
    7,641.90x = 45,195,388.80
  5. Step 5: Solve for x
    x = 45,195,388.80/7,641.90
  6. Step 6: Final answer
    x = 5,914.16

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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.