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Finding the Fourth Proportional to 28,013, 38,657.96 and 16,835

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Solution

The fourth proportional to 28,013, 38,657.96 and 16,835 is: 23,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,013 : 38,657.96 = 16,835 : x
  2. Step 2: Convert to fraction form
    28,013/38,657.96 = 16,835/x
  3. Step 3: Cross multiply
    28,013x = 38,657.96 × 16,835
  4. Step 4: Simplify right side
    28,013x = 650,806,756.60
  5. Step 5: Solve for x
    x = 650,806,756.60/28,013
  6. Step 6: Final answer
    x = 23,232.31

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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.