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Finding the Fourth Proportional to 7,805, 10,769.62 and 4,447.86

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Solution

The fourth proportional to 7,805, 10,769.62 and 4,447.86 is: 6,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805 : 10,769.62 = 4,447.86 : x
  2. Step 2: Convert to fraction form
    7,805/10,769.62 = 4,447.86/x
  3. Step 3: Cross multiply
    7,805x = 10,769.62 × 4,447.86
  4. Step 4: Simplify right side
    7,805x = 47,901,762.01
  5. Step 5: Solve for x
    x = 47,901,762.01/7,805
  6. Step 6: Final answer
    x = 6,137.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.