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Finding the Fourth Proportional to 6,426.80, 9,643.80 and 2,728.40

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Solution

The fourth proportional to 6,426.80, 9,643.80 and 2,728.40 is: 4,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.80 : 9,643.80 = 2,728.40 : x
  2. Step 2: Convert to fraction form
    6,426.80/9,643.80 = 2,728.40/x
  3. Step 3: Cross multiply
    6,426.80x = 9,643.80 × 2,728.40
  4. Step 4: Simplify right side
    6,426.80x = 26,312,143.92
  5. Step 5: Solve for x
    x = 26,312,143.92/6,426.80
  6. Step 6: Final answer
    x = 4,094.13

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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.