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Finding the Fourth Proportional to 1,952.55, 2,927.94 and 1,212.13

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Solution

The fourth proportional to 1,952.55, 2,927.94 and 1,212.13 is: 1,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.55 : 2,927.94 = 1,212.13 : x
  2. Step 2: Convert to fraction form
    1,952.55/2,927.94 = 1,212.13/x
  3. Step 3: Cross multiply
    1,952.55x = 2,927.94 × 1,212.13
  4. Step 4: Simplify right side
    1,952.55x = 3,549,055.17
  5. Step 5: Solve for x
    x = 3,549,055.17/1,952.55
  6. Step 6: Final answer
    x = 1,817.65

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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.