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Finding the Fourth Proportional to 19,012, 28,529.88 and 9,152.32

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Solution

The fourth proportional to 19,012, 28,529.88 and 9,152.32 is: 13,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,012 : 28,529.88 = 9,152.32 : x
  2. Step 2: Convert to fraction form
    19,012/28,529.88 = 9,152.32/x
  3. Step 3: Cross multiply
    19,012x = 28,529.88 × 9,152.32
  4. Step 4: Simplify right side
    19,012x = 261,114,591.32
  5. Step 5: Solve for x
    x = 261,114,591.32/19,012
  6. Step 6: Final answer
    x = 13,734.20

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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.