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Finding the Fourth Proportional to 9,803.84, 13,519.98 and 6,449.49

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Solution

The fourth proportional to 9,803.84, 13,519.98 and 6,449.49 is: 8,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.84 : 13,519.98 = 6,449.49 : x
  2. Step 2: Convert to fraction form
    9,803.84/13,519.98 = 6,449.49/x
  3. Step 3: Cross multiply
    9,803.84x = 13,519.98 × 6,449.49
  4. Step 4: Simplify right side
    9,803.84x = 87,196,975.81
  5. Step 5: Solve for x
    x = 87,196,975.81/9,803.84
  6. Step 6: Final answer
    x = 8,894.17

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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.