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Finding the Fourth Proportional to 6,409.57, 8,845.20 and 3,615.07

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Solution

The fourth proportional to 6,409.57, 8,845.20 and 3,615.07 is: 4,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.57 : 8,845.20 = 3,615.07 : x
  2. Step 2: Convert to fraction form
    6,409.57/8,845.20 = 3,615.07/x
  3. Step 3: Cross multiply
    6,409.57x = 8,845.20 × 3,615.07
  4. Step 4: Simplify right side
    6,409.57x = 31,975,954.86
  5. Step 5: Solve for x
    x = 31,975,954.86/6,409.57
  6. Step 6: Final answer
    x = 4,988.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.