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Finding the Fourth Proportional to 7,153.43, 9,871.56 and 3,966.74

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Solution

The fourth proportional to 7,153.43, 9,871.56 and 3,966.74 is: 5,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.43 : 9,871.56 = 3,966.74 : x
  2. Step 2: Convert to fraction form
    7,153.43/9,871.56 = 3,966.74/x
  3. Step 3: Cross multiply
    7,153.43x = 9,871.56 × 3,966.74
  4. Step 4: Simplify right side
    7,153.43x = 39,157,924.25
  5. Step 5: Solve for x
    x = 39,157,924.25/7,153.43
  6. Step 6: Final answer
    x = 5,474.00

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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.