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Finding the Fourth Proportional to 10,501, 15,754.08 and 3,205

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Solution

The fourth proportional to 10,501, 15,754.08 and 3,205 is: 4,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501 : 15,754.08 = 3,205 : x
  2. Step 2: Convert to fraction form
    10,501/15,754.08 = 3,205/x
  3. Step 3: Cross multiply
    10,501x = 15,754.08 × 3,205
  4. Step 4: Simplify right side
    10,501x = 50,491,826.40
  5. Step 5: Solve for x
    x = 50,491,826.40/10,501
  6. Step 6: Final answer
    x = 4,808.29

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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.