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Finding the Fourth Proportional to 19,823.30, 29,745.71 and 11,509.29

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Solution

The fourth proportional to 19,823.30, 29,745.71 and 11,509.29 is: 17,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.30 : 29,745.71 = 11,509.29 : x
  2. Step 2: Convert to fraction form
    19,823.30/29,745.71 = 11,509.29/x
  3. Step 3: Cross multiply
    19,823.30x = 29,745.71 × 11,509.29
  4. Step 4: Simplify right side
    19,823.30x = 342,352,002.65
  5. Step 5: Solve for x
    x = 342,352,002.65/19,823.30
  6. Step 6: Final answer
    x = 17,270.18

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1.5x scale

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.