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Finding the Fourth Proportional to 10,617.63, 15,836.86 and 9,219.97

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Solution

The fourth proportional to 10,617.63, 15,836.86 and 9,219.97 is: 13,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.63 : 15,836.86 = 9,219.97 : x
  2. Step 2: Convert to fraction form
    10,617.63/15,836.86 = 9,219.97/x
  3. Step 3: Cross multiply
    10,617.63x = 15,836.86 × 9,219.97
  4. Step 4: Simplify right side
    10,617.63x = 146,015,379.11
  5. Step 5: Solve for x
    x = 146,015,379.11/10,617.63
  6. Step 6: Final answer
    x = 13,752.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.