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Finding the Fourth Proportional to 2,140.68, 3,210.77 and 754.07

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Solution

The fourth proportional to 2,140.68, 3,210.77 and 754.07 is: 1,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.68 : 3,210.77 = 754.07 : x
  2. Step 2: Convert to fraction form
    2,140.68/3,210.77 = 754.07/x
  3. Step 3: Cross multiply
    2,140.68x = 3,210.77 × 754.07
  4. Step 4: Simplify right side
    2,140.68x = 2,421,125.51
  5. Step 5: Solve for x
    x = 2,421,125.51/2,140.68
  6. Step 6: Final answer
    x = 1,131.01

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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.