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Finding the Fourth Proportional to 3,426, 5,139 and 1,571.52

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Solution

The fourth proportional to 3,426, 5,139 and 1,571.52 is: 2,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426 : 5,139 = 1,571.52 : x
  2. Step 2: Convert to fraction form
    3,426/5,139 = 1,571.52/x
  3. Step 3: Cross multiply
    3,426x = 5,139 × 1,571.52
  4. Step 4: Simplify right side
    3,426x = 8,076,041.28
  5. Step 5: Solve for x
    x = 8,076,041.28/3,426
  6. Step 6: Final answer
    x = 2,357.28

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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.