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Finding the Fourth Proportional to 7,804.62, 10,769.10 and 4,447.50

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Solution

The fourth proportional to 7,804.62, 10,769.10 and 4,447.50 is: 6,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.62 : 10,769.10 = 4,447.50 : x
  2. Step 2: Convert to fraction form
    7,804.62/10,769.10 = 4,447.50/x
  3. Step 3: Cross multiply
    7,804.62x = 10,769.10 × 4,447.50
  4. Step 4: Simplify right side
    7,804.62x = 47,895,572.25
  5. Step 5: Solve for x
    x = 47,895,572.25/7,804.62
  6. Step 6: Final answer
    x = 6,136.82

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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.