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Finding the Fourth Proportional to 13,383.80, 18,463.80 and 9,407.48

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Solution

The fourth proportional to 13,383.80, 18,463.80 and 9,407.48 is: 12,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.80 : 18,463.80 = 9,407.48 : x
  2. Step 2: Convert to fraction form
    13,383.80/18,463.80 = 9,407.48/x
  3. Step 3: Cross multiply
    13,383.80x = 18,463.80 × 9,407.48
  4. Step 4: Simplify right side
    13,383.80x = 173,697,829.22
  5. Step 5: Solve for x
    x = 173,697,829.22/13,383.80
  6. Step 6: Final answer
    x = 12,978.21

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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.