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Finding the Fourth Proportional to 7,109.63, 9,811.07 and 4,125.26

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Solution

The fourth proportional to 7,109.63, 9,811.07 and 4,125.26 is: 5,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.63 : 9,811.07 = 4,125.26 : x
  2. Step 2: Convert to fraction form
    7,109.63/9,811.07 = 4,125.26/x
  3. Step 3: Cross multiply
    7,109.63x = 9,811.07 × 4,125.26
  4. Step 4: Simplify right side
    7,109.63x = 40,473,214.63
  5. Step 5: Solve for x
    x = 40,473,214.63/7,109.63
  6. Step 6: Final answer
    x = 5,692.73

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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.