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Finding the Fourth Proportional to 9,692.51, 14,538.77 and 3,119.21

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Solution

The fourth proportional to 9,692.51, 14,538.77 and 3,119.21 is: 4,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.51 : 14,538.77 = 3,119.21 : x
  2. Step 2: Convert to fraction form
    9,692.51/14,538.77 = 3,119.21/x
  3. Step 3: Cross multiply
    9,692.51x = 14,538.77 × 3,119.21
  4. Step 4: Simplify right side
    9,692.51x = 45,349,445.93
  5. Step 5: Solve for x
    x = 45,349,445.93/9,692.51
  6. Step 6: Final answer
    x = 4,678.81

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Similar ratio
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1.5x scale

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.