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Finding the Fourth Proportional to 4,300.80, 6,412.80 and 3,942.40

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Solution

The fourth proportional to 4,300.80, 6,412.80 and 3,942.40 is: 5,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.80 : 6,412.80 = 3,942.40 : x
  2. Step 2: Convert to fraction form
    4,300.80/6,412.80 = 3,942.40/x
  3. Step 3: Cross multiply
    4,300.80x = 6,412.80 × 3,942.40
  4. Step 4: Simplify right side
    4,300.80x = 25,281,822.72
  5. Step 5: Solve for x
    x = 25,281,822.72/4,300.80
  6. Step 6: Final answer
    x = 5,878.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.