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Finding the Fourth Proportional to 15,697.65, 21,662.62 and 8,624.10

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Solution

The fourth proportional to 15,697.65, 21,662.62 and 8,624.10 is: 11,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.65 : 21,662.62 = 8,624.10 : x
  2. Step 2: Convert to fraction form
    15,697.65/21,662.62 = 8,624.10/x
  3. Step 3: Cross multiply
    15,697.65x = 21,662.62 × 8,624.10
  4. Step 4: Simplify right side
    15,697.65x = 186,820,601.14
  5. Step 5: Solve for x
    x = 186,820,601.14/15,697.65
  6. Step 6: Final answer
    x = 11,901.18

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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.