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Finding the Fourth Proportional to 16,919, 23,347.64 and 9,365.66

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Solution

The fourth proportional to 16,919, 23,347.64 and 9,365.66 is: 12,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,919 : 23,347.64 = 9,365.66 : x
  2. Step 2: Convert to fraction form
    16,919/23,347.64 = 9,365.66/x
  3. Step 3: Cross multiply
    16,919x = 23,347.64 × 9,365.66
  4. Step 4: Simplify right side
    16,919x = 218,666,011.21
  5. Step 5: Solve for x
    x = 218,666,011.21/16,919
  6. Step 6: Final answer
    x = 12,924.29

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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.