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Finding the Fourth Proportional to 13,692.78, 18,868.14 and 9,445.14

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Solution

The fourth proportional to 13,692.78, 18,868.14 and 9,445.14 is: 13,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.78 : 18,868.14 = 9,445.14 : x
  2. Step 2: Convert to fraction form
    13,692.78/18,868.14 = 9,445.14/x
  3. Step 3: Cross multiply
    13,692.78x = 18,868.14 × 9,445.14
  4. Step 4: Simplify right side
    13,692.78x = 178,212,223.84
  5. Step 5: Solve for x
    x = 178,212,223.84/13,692.78
  6. Step 6: Final answer
    x = 13,015.05

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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.