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Finding the Fourth Proportional to 10,206, 15,309.53 and 2,810.30

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Solution

The fourth proportional to 10,206, 15,309.53 and 2,810.30 is: 4,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,309.53 = 2,810.30 : x
  2. Step 2: Convert to fraction form
    10,206/15,309.53 = 2,810.30/x
  3. Step 3: Cross multiply
    10,206x = 15,309.53 × 2,810.30
  4. Step 4: Simplify right side
    10,206x = 43,024,281.56
  5. Step 5: Solve for x
    x = 43,024,281.56/10,206
  6. Step 6: Final answer
    x = 4,215.59

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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.