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Finding the Fourth Proportional to 12,090.80, 16,687.41 and 7,058

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Solution

The fourth proportional to 12,090.80, 16,687.41 and 7,058 is: 9,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.80 : 16,687.41 = 7,058 : x
  2. Step 2: Convert to fraction form
    12,090.80/16,687.41 = 7,058/x
  3. Step 3: Cross multiply
    12,090.80x = 16,687.41 × 7,058
  4. Step 4: Simplify right side
    12,090.80x = 117,779,739.78
  5. Step 5: Solve for x
    x = 117,779,739.78/12,090.80
  6. Step 6: Final answer
    x = 9,741.27

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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.