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Finding the Fourth Proportional to 7,692.87, 10,617.55 and 7,342.28

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Solution

The fourth proportional to 7,692.87, 10,617.55 and 7,342.28 is: 10,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.87 : 10,617.55 = 7,342.28 : x
  2. Step 2: Convert to fraction form
    7,692.87/10,617.55 = 7,342.28/x
  3. Step 3: Cross multiply
    7,692.87x = 10,617.55 × 7,342.28
  4. Step 4: Simplify right side
    7,692.87x = 77,956,993.39
  5. Step 5: Solve for x
    x = 77,956,993.39/7,692.87
  6. Step 6: Final answer
    x = 10,133.66

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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.