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Finding the Fourth Proportional to 30,804.84, 46,200.44 and 8,612.25

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Solution

The fourth proportional to 30,804.84, 46,200.44 and 8,612.25 is: 12,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.84 : 46,200.44 = 8,612.25 : x
  2. Step 2: Convert to fraction form
    30,804.84/46,200.44 = 8,612.25/x
  3. Step 3: Cross multiply
    30,804.84x = 46,200.44 × 8,612.25
  4. Step 4: Simplify right side
    30,804.84x = 397,889,739.39
  5. Step 5: Solve for x
    x = 397,889,739.39/30,804.84
  6. Step 6: Final answer
    x = 12,916.47

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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.