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Finding the Fourth Proportional to 2,301.76, 3,435.94 and 2,130.44

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Solution

The fourth proportional to 2,301.76, 3,435.94 and 2,130.44 is: 3,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.76 : 3,435.94 = 2,130.44 : x
  2. Step 2: Convert to fraction form
    2,301.76/3,435.94 = 2,130.44/x
  3. Step 3: Cross multiply
    2,301.76x = 3,435.94 × 2,130.44
  4. Step 4: Simplify right side
    2,301.76x = 7,320,064.01
  5. Step 5: Solve for x
    x = 7,320,064.01/2,301.76
  6. Step 6: Final answer
    x = 3,180.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.