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Finding the Fourth Proportional to 19,165.16, 28,738 and 8,768

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Solution

The fourth proportional to 19,165.16, 28,738 and 8,768 is: 13,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,165.16 : 28,738 = 8,768 : x
  2. Step 2: Convert to fraction form
    19,165.16/28,738 = 8,768/x
  3. Step 3: Cross multiply
    19,165.16x = 28,738 × 8,768
  4. Step 4: Simplify right side
    19,165.16x = 251,974,784
  5. Step 5: Solve for x
    x = 251,974,784/19,165.16
  6. Step 6: Final answer
    x = 13,147.54

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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.