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Finding the Fourth Proportional to 30,751.54, 46,127.48 and 8,564.95

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Solution

The fourth proportional to 30,751.54, 46,127.48 and 8,564.95 is: 12,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.54 : 46,127.48 = 8,564.95 : x
  2. Step 2: Convert to fraction form
    30,751.54/46,127.48 = 8,564.95/x
  3. Step 3: Cross multiply
    30,751.54x = 46,127.48 × 8,564.95
  4. Step 4: Simplify right side
    30,751.54x = 395,079,639.53
  5. Step 5: Solve for x
    x = 395,079,639.53/30,751.54
  6. Step 6: Final answer
    x = 12,847.48

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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.