Home / 13,218-19,830.03-5,823.02

Finding the Fourth Proportional to 13,218, 19,830.03 and 5,823.02

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Solution

The fourth proportional to 13,218, 19,830.03 and 5,823.02 is: 8,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218 : 19,830.03 = 5,823.02 : x
  2. Step 2: Convert to fraction form
    13,218/19,830.03 = 5,823.02/x
  3. Step 3: Cross multiply
    13,218x = 19,830.03 × 5,823.02
  4. Step 4: Simplify right side
    13,218x = 115,470,661.29
  5. Step 5: Solve for x
    x = 115,470,661.29/13,218
  6. Step 6: Final answer
    x = 8,735.86

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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.