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Finding the Fourth Proportional to 13,509.90, 18,641.79 and 7,843.74

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Solution

The fourth proportional to 13,509.90, 18,641.79 and 7,843.74 is: 10,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.90 : 18,641.79 = 7,843.74 : x
  2. Step 2: Convert to fraction form
    13,509.90/18,641.79 = 7,843.74/x
  3. Step 3: Cross multiply
    13,509.90x = 18,641.79 × 7,843.74
  4. Step 4: Simplify right side
    13,509.90x = 146,221,353.89
  5. Step 5: Solve for x
    x = 146,221,353.89/13,509.90
  6. Step 6: Final answer
    x = 10,823.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.