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Finding the Fourth Proportional to 19,080, 28,621.44 and 6,768

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Solution

The fourth proportional to 19,080, 28,621.44 and 6,768 is: 10,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,080 : 28,621.44 = 6,768 : x
  2. Step 2: Convert to fraction form
    19,080/28,621.44 = 6,768/x
  3. Step 3: Cross multiply
    19,080x = 28,621.44 × 6,768
  4. Step 4: Simplify right side
    19,080x = 193,709,905.92
  5. Step 5: Solve for x
    x = 193,709,905.92/19,080
  6. Step 6: Final answer
    x = 10,152.51

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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.