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Finding the Fourth Proportional to 7,085.52, 9,777.76 and 3,941.64

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Solution

The fourth proportional to 7,085.52, 9,777.76 and 3,941.64 is: 5,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.52 : 9,777.76 = 3,941.64 : x
  2. Step 2: Convert to fraction form
    7,085.52/9,777.76 = 3,941.64/x
  3. Step 3: Cross multiply
    7,085.52x = 9,777.76 × 3,941.64
  4. Step 4: Simplify right side
    7,085.52x = 38,540,409.93
  5. Step 5: Solve for x
    x = 38,540,409.93/7,085.52
  6. Step 6: Final answer
    x = 5,439.32

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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.