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Finding the Fourth Proportional to 9,395.79, 12,960.50 and 6,209.12

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Solution

The fourth proportional to 9,395.79, 12,960.50 and 6,209.12 is: 8,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.79 : 12,960.50 = 6,209.12 : x
  2. Step 2: Convert to fraction form
    9,395.79/12,960.50 = 6,209.12/x
  3. Step 3: Cross multiply
    9,395.79x = 12,960.50 × 6,209.12
  4. Step 4: Simplify right side
    9,395.79x = 80,473,203.91
  5. Step 5: Solve for x
    x = 80,473,203.91/9,395.79
  6. Step 6: Final answer
    x = 8,564.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.