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Finding the Fourth Proportional to 1,619.54, 2,235 and 956.15

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Solution

The fourth proportional to 1,619.54, 2,235 and 956.15 is: 1,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.54 : 2,235 = 956.15 : x
  2. Step 2: Convert to fraction form
    1,619.54/2,235 = 956.15/x
  3. Step 3: Cross multiply
    1,619.54x = 2,235 × 956.15
  4. Step 4: Simplify right side
    1,619.54x = 2,136,995.25
  5. Step 5: Solve for x
    x = 2,136,995.25/1,619.54
  6. Step 6: Final answer
    x = 1,319.51

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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.