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Finding the Fourth Proportional to 2,128.50, 3,190.62 and 959.13

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Solution

The fourth proportional to 2,128.50, 3,190.62 and 959.13 is: 1,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.50 : 3,190.62 = 959.13 : x
  2. Step 2: Convert to fraction form
    2,128.50/3,190.62 = 959.13/x
  3. Step 3: Cross multiply
    2,128.50x = 3,190.62 × 959.13
  4. Step 4: Simplify right side
    2,128.50x = 3,060,219.36
  5. Step 5: Solve for x
    x = 3,060,219.36/2,128.50
  6. Step 6: Final answer
    x = 1,437.74

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1.5x scale

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.