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Finding the Fourth Proportional to 28,866, 39,834.30 and 16,289.76

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Solution

The fourth proportional to 28,866, 39,834.30 and 16,289.76 is: 22,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,866 : 39,834.30 = 16,289.76 : x
  2. Step 2: Convert to fraction form
    28,866/39,834.30 = 16,289.76/x
  3. Step 3: Cross multiply
    28,866x = 39,834.30 × 16,289.76
  4. Step 4: Simplify right side
    28,866x = 648,891,186.77
  5. Step 5: Solve for x
    x = 648,891,186.77/28,866
  6. Step 6: Final answer
    x = 22,479.43

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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.