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Finding the Fourth Proportional to 1,326.56, 1,985.74 and 1,213.16

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Solution

The fourth proportional to 1,326.56, 1,985.74 and 1,213.16 is: 1,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.56 : 1,985.74 = 1,213.16 : x
  2. Step 2: Convert to fraction form
    1,326.56/1,985.74 = 1,213.16/x
  3. Step 3: Cross multiply
    1,326.56x = 1,985.74 × 1,213.16
  4. Step 4: Simplify right side
    1,326.56x = 2,409,022.27
  5. Step 5: Solve for x
    x = 2,409,022.27/1,326.56
  6. Step 6: Final answer
    x = 1,815.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.