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Finding the Fourth Proportional to 14,804.67, 20,430.87 and 8,090.58

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Solution

The fourth proportional to 14,804.67, 20,430.87 and 8,090.58 is: 11,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.67 : 20,430.87 = 8,090.58 : x
  2. Step 2: Convert to fraction form
    14,804.67/20,430.87 = 8,090.58/x
  3. Step 3: Cross multiply
    14,804.67x = 20,430.87 × 8,090.58
  4. Step 4: Simplify right side
    14,804.67x = 165,297,588.20
  5. Step 5: Solve for x
    x = 165,297,588.20/14,804.67
  6. Step 6: Final answer
    x = 11,165.23

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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.