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Finding the Fourth Proportional to 2,709.01, 3,738.68 and 1,530.28

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Solution

The fourth proportional to 2,709.01, 3,738.68 and 1,530.28 is: 2,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.01 : 3,738.68 = 1,530.28 : x
  2. Step 2: Convert to fraction form
    2,709.01/3,738.68 = 1,530.28/x
  3. Step 3: Cross multiply
    2,709.01x = 3,738.68 × 1,530.28
  4. Step 4: Simplify right side
    2,709.01x = 5,721,227.23
  5. Step 5: Solve for x
    x = 5,721,227.23/2,709.01
  6. Step 6: Final answer
    x = 2,111.93

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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.