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Finding the Fourth Proportional to 16,689.30, 23,029.65 and 9,973.59

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Solution

The fourth proportional to 16,689.30, 23,029.65 and 9,973.59 is: 13,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.30 : 23,029.65 = 9,973.59 : x
  2. Step 2: Convert to fraction form
    16,689.30/23,029.65 = 9,973.59/x
  3. Step 3: Cross multiply
    16,689.30x = 23,029.65 × 9,973.59
  4. Step 4: Simplify right side
    16,689.30x = 229,688,286.94
  5. Step 5: Solve for x
    x = 229,688,286.94/16,689.30
  6. Step 6: Final answer
    x = 13,762.61

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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.