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Finding the Fourth Proportional to 13,150.48, 18,135.48 and 9,962.32

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Solution

The fourth proportional to 13,150.48, 18,135.48 and 9,962.32 is: 13,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150.48 : 18,135.48 = 9,962.32 : x
  2. Step 2: Convert to fraction form
    13,150.48/18,135.48 = 9,962.32/x
  3. Step 3: Cross multiply
    13,150.48x = 18,135.48 × 9,962.32
  4. Step 4: Simplify right side
    13,150.48x = 180,671,455.11
  5. Step 5: Solve for x
    x = 180,671,455.11/13,150.48
  6. Step 6: Final answer
    x = 13,738.77

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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.