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Finding the Fourth Proportional to 19,518, 29,277.42 and 7,039.02

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Solution

The fourth proportional to 19,518, 29,277.42 and 7,039.02 is: 10,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,518 : 29,277.42 = 7,039.02 : x
  2. Step 2: Convert to fraction form
    19,518/29,277.42 = 7,039.02/x
  3. Step 3: Cross multiply
    19,518x = 29,277.42 × 7,039.02
  4. Step 4: Simplify right side
    19,518x = 206,084,344.93
  5. Step 5: Solve for x
    x = 206,084,344.93/19,518
  6. Step 6: Final answer
    x = 10,558.68

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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.