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Finding the Fourth Proportional to 7,132.77, 9,843.36 and 3,946.32

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Solution

The fourth proportional to 7,132.77, 9,843.36 and 3,946.32 is: 5,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.77 : 9,843.36 = 3,946.32 : x
  2. Step 2: Convert to fraction form
    7,132.77/9,843.36 = 3,946.32/x
  3. Step 3: Cross multiply
    7,132.77x = 9,843.36 × 3,946.32
  4. Step 4: Simplify right side
    7,132.77x = 38,845,048.44
  5. Step 5: Solve for x
    x = 38,845,048.44/7,132.77
  6. Step 6: Final answer
    x = 5,446.00

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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.