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Finding the Fourth Proportional to 13,488.64, 18,623.04 and 9,448.22

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Solution

The fourth proportional to 13,488.64, 18,623.04 and 9,448.22 is: 13,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.64 : 18,623.04 = 9,448.22 : x
  2. Step 2: Convert to fraction form
    13,488.64/18,623.04 = 9,448.22/x
  3. Step 3: Cross multiply
    13,488.64x = 18,623.04 × 9,448.22
  4. Step 4: Simplify right side
    13,488.64x = 175,954,578.99
  5. Step 5: Solve for x
    x = 175,954,578.99/13,488.64
  6. Step 6: Final answer
    x = 13,044.65

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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.