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Finding the Fourth Proportional to 6,430.80, 9,641.40 and 3,512.40

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Solution

The fourth proportional to 6,430.80, 9,641.40 and 3,512.40 is: 5,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.80 : 9,641.40 = 3,512.40 : x
  2. Step 2: Convert to fraction form
    6,430.80/9,641.40 = 3,512.40/x
  3. Step 3: Cross multiply
    6,430.80x = 9,641.40 × 3,512.40
  4. Step 4: Simplify right side
    6,430.80x = 33,864,453.36
  5. Step 5: Solve for x
    x = 33,864,453.36/6,430.80
  6. Step 6: Final answer
    x = 5,265.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.