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Finding the Fourth Proportional to 7,138.48, 10,692.78 and 4,528.48

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Solution

The fourth proportional to 7,138.48, 10,692.78 and 4,528.48 is: 6,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.48 : 10,692.78 = 4,528.48 : x
  2. Step 2: Convert to fraction form
    7,138.48/10,692.78 = 4,528.48/x
  3. Step 3: Cross multiply
    7,138.48x = 10,692.78 × 4,528.48
  4. Step 4: Simplify right side
    7,138.48x = 48,422,040.37
  5. Step 5: Solve for x
    x = 48,422,040.37/7,138.48
  6. Step 6: Final answer
    x = 6,783.24

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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.