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Finding the Fourth Proportional to 10,975.80, 16,470.45 and 4,738.80

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Solution

The fourth proportional to 10,975.80, 16,470.45 and 4,738.80 is: 7,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.80 : 16,470.45 = 4,738.80 : x
  2. Step 2: Convert to fraction form
    10,975.80/16,470.45 = 4,738.80/x
  3. Step 3: Cross multiply
    10,975.80x = 16,470.45 × 4,738.80
  4. Step 4: Simplify right side
    10,975.80x = 78,050,168.46
  5. Step 5: Solve for x
    x = 78,050,168.46/10,975.80
  6. Step 6: Final answer
    x = 7,111.11

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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.