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Finding the Fourth Proportional to 9,809.10, 13,513.68 and 6,819.75

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Solution

The fourth proportional to 9,809.10, 13,513.68 and 6,819.75 is: 9,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.10 : 13,513.68 = 6,819.75 : x
  2. Step 2: Convert to fraction form
    9,809.10/13,513.68 = 6,819.75/x
  3. Step 3: Cross multiply
    9,809.10x = 13,513.68 × 6,819.75
  4. Step 4: Simplify right side
    9,809.10x = 92,159,919.18
  5. Step 5: Solve for x
    x = 92,159,919.18/9,809.10
  6. Step 6: Final answer
    x = 9,395.35

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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.