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Finding the Fourth Proportional to 7,144.81, 9,859.32 and 3,957.80

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Solution

The fourth proportional to 7,144.81, 9,859.32 and 3,957.80 is: 5,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.81 : 9,859.32 = 3,957.80 : x
  2. Step 2: Convert to fraction form
    7,144.81/9,859.32 = 3,957.80/x
  3. Step 3: Cross multiply
    7,144.81x = 9,859.32 × 3,957.80
  4. Step 4: Simplify right side
    7,144.81x = 39,021,167.40
  5. Step 5: Solve for x
    x = 39,021,167.40/7,144.81
  6. Step 6: Final answer
    x = 5,461.47

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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.