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Finding the Fourth Proportional to 10,830, 16,242.56 and 3,430.43

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Solution

The fourth proportional to 10,830, 16,242.56 and 3,430.43 is: 5,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830 : 16,242.56 = 3,430.43 : x
  2. Step 2: Convert to fraction form
    10,830/16,242.56 = 3,430.43/x
  3. Step 3: Cross multiply
    10,830x = 16,242.56 × 3,430.43
  4. Step 4: Simplify right side
    10,830x = 55,718,866.74
  5. Step 5: Solve for x
    x = 55,718,866.74/10,830
  6. Step 6: Final answer
    x = 5,144.86

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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.