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Finding the Fourth Proportional to 35,510, 49,005.36 and 20,407.52

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Solution

The fourth proportional to 35,510, 49,005.36 and 20,407.52 is: 28,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510 : 49,005.36 = 20,407.52 : x
  2. Step 2: Convert to fraction form
    35,510/49,005.36 = 20,407.52/x
  3. Step 3: Cross multiply
    35,510x = 49,005.36 × 20,407.52
  4. Step 4: Simplify right side
    35,510x = 1,000,077,864.31
  5. Step 5: Solve for x
    x = 1,000,077,864.31/35,510
  6. Step 6: Final answer
    x = 28,163.27

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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.