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Finding the Fourth Proportional to 15,606, 21,536.67 and 9,473.78

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Solution

The fourth proportional to 15,606, 21,536.67 and 9,473.78 is: 13,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606 : 21,536.67 = 9,473.78 : x
  2. Step 2: Convert to fraction form
    15,606/21,536.67 = 9,473.78/x
  3. Step 3: Cross multiply
    15,606x = 21,536.67 × 9,473.78
  4. Step 4: Simplify right side
    15,606x = 204,033,565.83
  5. Step 5: Solve for x
    x = 204,033,565.83/15,606
  6. Step 6: Final answer
    x = 13,074.05

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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.