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Finding the Fourth Proportional to 7,128.40, 9,837 and 3,984.40

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Solution

The fourth proportional to 7,128.40, 9,837 and 3,984.40 is: 5,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.40 : 9,837 = 3,984.40 : x
  2. Step 2: Convert to fraction form
    7,128.40/9,837 = 3,984.40/x
  3. Step 3: Cross multiply
    7,128.40x = 9,837 × 3,984.40
  4. Step 4: Simplify right side
    7,128.40x = 39,194,542.80
  5. Step 5: Solve for x
    x = 39,194,542.80/7,128.40
  6. Step 6: Final answer
    x = 5,498.36

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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.