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Finding the Fourth Proportional to 13,218, 19,829.88 and 5,010

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Solution

The fourth proportional to 13,218, 19,829.88 and 5,010 is: 7,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218 : 19,829.88 = 5,010 : x
  2. Step 2: Convert to fraction form
    13,218/19,829.88 = 5,010/x
  3. Step 3: Cross multiply
    13,218x = 19,829.88 × 5,010
  4. Step 4: Simplify right side
    13,218x = 99,347,698.80
  5. Step 5: Solve for x
    x = 99,347,698.80/13,218
  6. Step 6: Final answer
    x = 7,516.09

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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.