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Finding the Fourth Proportional to 13,745.58, 18,968.76 and 7,777.08

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Solution

The fourth proportional to 13,745.58, 18,968.76 and 7,777.08 is: 10,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.58 : 18,968.76 = 7,777.08 : x
  2. Step 2: Convert to fraction form
    13,745.58/18,968.76 = 7,777.08/x
  3. Step 3: Cross multiply
    13,745.58x = 18,968.76 × 7,777.08
  4. Step 4: Simplify right side
    13,745.58x = 147,521,564.02
  5. Step 5: Solve for x
    x = 147,521,564.02/13,745.58
  6. Step 6: Final answer
    x = 10,732.29

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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.