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Finding the Fourth Proportional to 13,605.90, 18,778.06 and 7,638.02

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Solution

The fourth proportional to 13,605.90, 18,778.06 and 7,638.02 is: 10,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.90 : 18,778.06 = 7,638.02 : x
  2. Step 2: Convert to fraction form
    13,605.90/18,778.06 = 7,638.02/x
  3. Step 3: Cross multiply
    13,605.90x = 18,778.06 × 7,638.02
  4. Step 4: Simplify right side
    13,605.90x = 143,427,197.84
  5. Step 5: Solve for x
    x = 143,427,197.84/13,605.90
  6. Step 6: Final answer
    x = 10,541.54

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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.