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Finding the Fourth Proportional to 6,339.84, 9,513.84 and 3,420.16

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Solution

The fourth proportional to 6,339.84, 9,513.84 and 3,420.16 is: 5,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.84 : 9,513.84 = 3,420.16 : x
  2. Step 2: Convert to fraction form
    6,339.84/9,513.84 = 3,420.16/x
  3. Step 3: Cross multiply
    6,339.84x = 9,513.84 × 3,420.16
  4. Step 4: Simplify right side
    6,339.84x = 32,538,855.01
  5. Step 5: Solve for x
    x = 32,538,855.01/6,339.84
  6. Step 6: Final answer
    x = 5,132.44

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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.