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Finding the Fourth Proportional to 14,804.76, 20,431.05 and 8,090.76

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Solution

The fourth proportional to 14,804.76, 20,431.05 and 8,090.76 is: 11,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.76 : 20,431.05 = 8,090.76 : x
  2. Step 2: Convert to fraction form
    14,804.76/20,431.05 = 8,090.76/x
  3. Step 3: Cross multiply
    14,804.76x = 20,431.05 × 8,090.76
  4. Step 4: Simplify right side
    14,804.76x = 165,302,722.10
  5. Step 5: Solve for x
    x = 165,302,722.10/14,804.76
  6. Step 6: Final answer
    x = 11,165.51

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Half scale
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Double scale
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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.