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Finding the Fourth Proportional to 1,956.12, 2,699.22 and 1,117

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Solution

The fourth proportional to 1,956.12, 2,699.22 and 1,117 is: 1,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.12 : 2,699.22 = 1,117 : x
  2. Step 2: Convert to fraction form
    1,956.12/2,699.22 = 1,117/x
  3. Step 3: Cross multiply
    1,956.12x = 2,699.22 × 1,117
  4. Step 4: Simplify right side
    1,956.12x = 3,015,028.74
  5. Step 5: Solve for x
    x = 3,015,028.74/1,956.12
  6. Step 6: Final answer
    x = 1,541.33

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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.