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Finding the Fourth Proportional to 10,201.65, 15,302.54 and 2,806.89

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Solution

The fourth proportional to 10,201.65, 15,302.54 and 2,806.89 is: 4,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.65 : 15,302.54 = 2,806.89 : x
  2. Step 2: Convert to fraction form
    10,201.65/15,302.54 = 2,806.89/x
  3. Step 3: Cross multiply
    10,201.65x = 15,302.54 × 2,806.89
  4. Step 4: Simplify right side
    10,201.65x = 42,952,546.50
  5. Step 5: Solve for x
    x = 42,952,546.50/10,201.65
  6. Step 6: Final answer
    x = 4,210.35

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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.