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Finding the Fourth Proportional to 9,805, 13,552.76 and 8,475.80

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Solution

The fourth proportional to 9,805, 13,552.76 and 8,475.80 is: 11,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805 : 13,552.76 = 8,475.80 : x
  2. Step 2: Convert to fraction form
    9,805/13,552.76 = 8,475.80/x
  3. Step 3: Cross multiply
    9,805x = 13,552.76 × 8,475.80
  4. Step 4: Simplify right side
    9,805x = 114,870,483.21
  5. Step 5: Solve for x
    x = 114,870,483.21/9,805
  6. Step 6: Final answer
    x = 11,715.50

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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.