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Finding the Fourth Proportional to 1,945.34, 2,684.55 and 1,061.17

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Solution

The fourth proportional to 1,945.34, 2,684.55 and 1,061.17 is: 1,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.34 : 2,684.55 = 1,061.17 : x
  2. Step 2: Convert to fraction form
    1,945.34/2,684.55 = 1,061.17/x
  3. Step 3: Cross multiply
    1,945.34x = 2,684.55 × 1,061.17
  4. Step 4: Simplify right side
    1,945.34x = 2,848,750.50
  5. Step 5: Solve for x
    x = 2,848,750.50/1,945.34
  6. Step 6: Final answer
    x = 1,464.40

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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.