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Finding the Fourth Proportional to 7,679.16, 11,509.12 and 3,291.48

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Solution

The fourth proportional to 7,679.16, 11,509.12 and 3,291.48 is: 4,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.16 : 11,509.12 = 3,291.48 : x
  2. Step 2: Convert to fraction form
    7,679.16/11,509.12 = 3,291.48/x
  3. Step 3: Cross multiply
    7,679.16x = 11,509.12 × 3,291.48
  4. Step 4: Simplify right side
    7,679.16x = 37,882,038.30
  5. Step 5: Solve for x
    x = 37,882,038.30/7,679.16
  6. Step 6: Final answer
    x = 4,933.10

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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.