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Finding the Fourth Proportional to 11,859, 16,368.54 and 6,823.80

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Solution

The fourth proportional to 11,859, 16,368.54 and 6,823.80 is: 9,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859 : 16,368.54 = 6,823.80 : x
  2. Step 2: Convert to fraction form
    11,859/16,368.54 = 6,823.80/x
  3. Step 3: Cross multiply
    11,859x = 16,368.54 × 6,823.80
  4. Step 4: Simplify right side
    11,859x = 111,695,643.25
  5. Step 5: Solve for x
    x = 111,695,643.25/11,859
  6. Step 6: Final answer
    x = 9,418.64

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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.