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Finding the Fourth Proportional to 9,912.80, 14,830.80 and 6,456.80

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Solution

The fourth proportional to 9,912.80, 14,830.80 and 6,456.80 is: 9,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.80 : 14,830.80 = 6,456.80 : x
  2. Step 2: Convert to fraction form
    9,912.80/14,830.80 = 6,456.80/x
  3. Step 3: Cross multiply
    9,912.80x = 14,830.80 × 6,456.80
  4. Step 4: Simplify right side
    9,912.80x = 95,759,509.44
  5. Step 5: Solve for x
    x = 95,759,509.44/9,912.80
  6. Step 6: Final answer
    x = 9,660.19

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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.