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Finding the Fourth Proportional to 28,509.70, 42,734.31 and 10,971.94

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Solution

The fourth proportional to 28,509.70, 42,734.31 and 10,971.94 is: 16,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.70 : 42,734.31 = 10,971.94 : x
  2. Step 2: Convert to fraction form
    28,509.70/42,734.31 = 10,971.94/x
  3. Step 3: Cross multiply
    28,509.70x = 42,734.31 × 10,971.94
  4. Step 4: Simplify right side
    28,509.70x = 468,878,285.26
  5. Step 5: Solve for x
    x = 468,878,285.26/28,509.70
  6. Step 6: Final answer
    x = 16,446.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.