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Finding the Fourth Proportional to 12,089.80, 16,686.03 and 7,057

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Solution

The fourth proportional to 12,089.80, 16,686.03 and 7,057 is: 9,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.80 : 16,686.03 = 7,057 : x
  2. Step 2: Convert to fraction form
    12,089.80/16,686.03 = 7,057/x
  3. Step 3: Cross multiply
    12,089.80x = 16,686.03 × 7,057
  4. Step 4: Simplify right side
    12,089.80x = 117,753,313.71
  5. Step 5: Solve for x
    x = 117,753,313.71/12,089.80
  6. Step 6: Final answer
    x = 9,739.89

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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.