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Finding the Fourth Proportional to 30,778.68, 46,168.08 and 7,405.08

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Solution

The fourth proportional to 30,778.68, 46,168.08 and 7,405.08 is: 11,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.68 : 46,168.08 = 7,405.08 : x
  2. Step 2: Convert to fraction form
    30,778.68/46,168.08 = 7,405.08/x
  3. Step 3: Cross multiply
    30,778.68x = 46,168.08 × 7,405.08
  4. Step 4: Simplify right side
    30,778.68x = 341,878,325.85
  5. Step 5: Solve for x
    x = 341,878,325.85/30,778.68
  6. Step 6: Final answer
    x = 11,107.63

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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.