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Finding the Fourth Proportional to 1,610.87, 2,223 and 947.75

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Solution

The fourth proportional to 1,610.87, 2,223 and 947.75 is: 1,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.87 : 2,223 = 947.75 : x
  2. Step 2: Convert to fraction form
    1,610.87/2,223 = 947.75/x
  3. Step 3: Cross multiply
    1,610.87x = 2,223 × 947.75
  4. Step 4: Simplify right side
    1,610.87x = 2,106,837.14
  5. Step 5: Solve for x
    x = 2,106,837.14/1,610.87
  6. Step 6: Final answer
    x = 1,307.89

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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.