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Finding the Fourth Proportional to 19,036, 28,563.72 and 8,509.24

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Solution

The fourth proportional to 19,036, 28,563.72 and 8,509.24 is: 12,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,036 : 28,563.72 = 8,509.24 : x
  2. Step 2: Convert to fraction form
    19,036/28,563.72 = 8,509.24/x
  3. Step 3: Cross multiply
    19,036x = 28,563.72 × 8,509.24
  4. Step 4: Simplify right side
    19,036x = 243,055,548.77
  5. Step 5: Solve for x
    x = 243,055,548.77/19,036
  6. Step 6: Final answer
    x = 12,768.20

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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.