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Finding the Fourth Proportional to 9,263.20, 12,782 and 5,679.76

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Solution

The fourth proportional to 9,263.20, 12,782 and 5,679.76 is: 7,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.20 : 12,782 = 5,679.76 : x
  2. Step 2: Convert to fraction form
    9,263.20/12,782 = 5,679.76/x
  3. Step 3: Cross multiply
    9,263.20x = 12,782 × 5,679.76
  4. Step 4: Simplify right side
    9,263.20x = 72,598,692.32
  5. Step 5: Solve for x
    x = 72,598,692.32/9,263.20
  6. Step 6: Final answer
    x = 7,837.32

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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.