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Finding the Fourth Proportional to 28,835, 43,252.54 and 6,947

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Solution

The fourth proportional to 28,835, 43,252.54 and 6,947 is: 10,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,835 : 43,252.54 = 6,947 : x
  2. Step 2: Convert to fraction form
    28,835/43,252.54 = 6,947/x
  3. Step 3: Cross multiply
    28,835x = 43,252.54 × 6,947
  4. Step 4: Simplify right side
    28,835x = 300,475,395.38
  5. Step 5: Solve for x
    x = 300,475,395.38/28,835
  6. Step 6: Final answer
    x = 10,420.51

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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.