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Finding the Fourth Proportional to 2,140.68, 3,210.76 and 754.06

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Solution

The fourth proportional to 2,140.68, 3,210.76 and 754.06 is: 1,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.68 : 3,210.76 = 754.06 : x
  2. Step 2: Convert to fraction form
    2,140.68/3,210.76 = 754.06/x
  3. Step 3: Cross multiply
    2,140.68x = 3,210.76 × 754.06
  4. Step 4: Simplify right side
    2,140.68x = 2,421,105.69
  5. Step 5: Solve for x
    x = 2,421,105.69/2,140.68
  6. Step 6: Final answer
    x = 1,131.00

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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.