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Finding the Fourth Proportional to 13,389.36, 18,477 and 7,800

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Solution

The fourth proportional to 13,389.36, 18,477 and 7,800 is: 10,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389.36 : 18,477 = 7,800 : x
  2. Step 2: Convert to fraction form
    13,389.36/18,477 = 7,800/x
  3. Step 3: Cross multiply
    13,389.36x = 18,477 × 7,800
  4. Step 4: Simplify right side
    13,389.36x = 144,120,600
  5. Step 5: Solve for x
    x = 144,120,600/13,389.36
  6. Step 6: Final answer
    x = 10,763.82

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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.