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Finding the Fourth Proportional to 6,420.84, 9,624.06 and 4,203.92

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Solution

The fourth proportional to 6,420.84, 9,624.06 and 4,203.92 is: 6,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.84 : 9,624.06 = 4,203.92 : x
  2. Step 2: Convert to fraction form
    6,420.84/9,624.06 = 4,203.92/x
  3. Step 3: Cross multiply
    6,420.84x = 9,624.06 × 4,203.92
  4. Step 4: Simplify right side
    6,420.84x = 40,458,778.32
  5. Step 5: Solve for x
    x = 40,458,778.32/6,420.84
  6. Step 6: Final answer
    x = 6,301.17

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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.