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Finding the Fourth Proportional to 30,807.84, 46,204.94 and 8,615.25

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Solution

The fourth proportional to 30,807.84, 46,204.94 and 8,615.25 is: 12,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.84 : 46,204.94 = 8,615.25 : x
  2. Step 2: Convert to fraction form
    30,807.84/46,204.94 = 8,615.25/x
  3. Step 3: Cross multiply
    30,807.84x = 46,204.94 × 8,615.25
  4. Step 4: Simplify right side
    30,807.84x = 398,067,109.34
  5. Step 5: Solve for x
    x = 398,067,109.34/30,807.84
  6. Step 6: Final answer
    x = 12,920.97

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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.