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Finding the Fourth Proportional to 1,430.68, 2,147.26 and 814.68

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Solution

The fourth proportional to 1,430.68, 2,147.26 and 814.68 is: 1,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.68 : 2,147.26 = 814.68 : x
  2. Step 2: Convert to fraction form
    1,430.68/2,147.26 = 814.68/x
  3. Step 3: Cross multiply
    1,430.68x = 2,147.26 × 814.68
  4. Step 4: Simplify right side
    1,430.68x = 1,749,329.78
  5. Step 5: Solve for x
    x = 1,749,329.78/1,430.68
  6. Step 6: Final answer
    x = 1,222.73

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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.