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Finding the Fourth Proportional to 8,357.49, 12,534.17 and 3,428.51

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Solution

The fourth proportional to 8,357.49, 12,534.17 and 3,428.51 is: 5,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.49 : 12,534.17 = 3,428.51 : x
  2. Step 2: Convert to fraction form
    8,357.49/12,534.17 = 3,428.51/x
  3. Step 3: Cross multiply
    8,357.49x = 12,534.17 × 3,428.51
  4. Step 4: Simplify right side
    8,357.49x = 42,973,447.37
  5. Step 5: Solve for x
    x = 42,973,447.37/8,357.49
  6. Step 6: Final answer
    x = 5,141.91

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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.