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Finding the Fourth Proportional to 12,262.98, 18,400.12 and 9,485.48

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Solution

The fourth proportional to 12,262.98, 18,400.12 and 9,485.48 is: 14,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.98 : 18,400.12 = 9,485.48 : x
  2. Step 2: Convert to fraction form
    12,262.98/18,400.12 = 9,485.48/x
  3. Step 3: Cross multiply
    12,262.98x = 18,400.12 × 9,485.48
  4. Step 4: Simplify right side
    12,262.98x = 174,533,970.26
  5. Step 5: Solve for x
    x = 174,533,970.26/12,262.98
  6. Step 6: Final answer
    x = 14,232.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.