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Finding the Fourth Proportional to 6,400.80, 9,590.40 and 4,208.40

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Solution

The fourth proportional to 6,400.80, 9,590.40 and 4,208.40 is: 6,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.80 : 9,590.40 = 4,208.40 : x
  2. Step 2: Convert to fraction form
    6,400.80/9,590.40 = 4,208.40/x
  3. Step 3: Cross multiply
    6,400.80x = 9,590.40 × 4,208.40
  4. Step 4: Simplify right side
    6,400.80x = 40,360,239.36
  5. Step 5: Solve for x
    x = 40,360,239.36/6,400.80
  6. Step 6: Final answer
    x = 6,305.50

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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.