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Finding the Fourth Proportional to 8,971.81, 13,457.78 and 3,128.42

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Solution

The fourth proportional to 8,971.81, 13,457.78 and 3,128.42 is: 4,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.81 : 13,457.78 = 3,128.42 : x
  2. Step 2: Convert to fraction form
    8,971.81/13,457.78 = 3,128.42/x
  3. Step 3: Cross multiply
    8,971.81x = 13,457.78 × 3,128.42
  4. Step 4: Simplify right side
    8,971.81x = 42,101,588.11
  5. Step 5: Solve for x
    x = 42,101,588.11/8,971.81
  6. Step 6: Final answer
    x = 4,692.65

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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.