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Finding the Fourth Proportional to 8,209.94, 12,313.10 and 2,365.28

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Solution

The fourth proportional to 8,209.94, 12,313.10 and 2,365.28 is: 3,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.94 : 12,313.10 = 2,365.28 : x
  2. Step 2: Convert to fraction form
    8,209.94/12,313.10 = 2,365.28/x
  3. Step 3: Cross multiply
    8,209.94x = 12,313.10 × 2,365.28
  4. Step 4: Simplify right side
    8,209.94x = 29,123,855.78
  5. Step 5: Solve for x
    x = 29,123,855.78/8,209.94
  6. Step 6: Final answer
    x = 3,547.39

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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.