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Finding the Fourth Proportional to 13,647.23, 18,823.08 and 9,399.63

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Solution

The fourth proportional to 13,647.23, 18,823.08 and 9,399.63 is: 12,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.23 : 18,823.08 = 9,399.63 : x
  2. Step 2: Convert to fraction form
    13,647.23/18,823.08 = 9,399.63/x
  3. Step 3: Cross multiply
    13,647.23x = 18,823.08 × 9,399.63
  4. Step 4: Simplify right side
    13,647.23x = 176,929,987.46
  5. Step 5: Solve for x
    x = 176,929,987.46/13,647.23
  6. Step 6: Final answer
    x = 12,964.54

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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.