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Finding the Fourth Proportional to 30,828.32, 46,234.08 and 8,640.32

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Solution

The fourth proportional to 30,828.32, 46,234.08 and 8,640.32 is: 12,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.32 : 46,234.08 = 8,640.32 : x
  2. Step 2: Convert to fraction form
    30,828.32/46,234.08 = 8,640.32/x
  3. Step 3: Cross multiply
    30,828.32x = 46,234.08 × 8,640.32
  4. Step 4: Simplify right side
    30,828.32x = 399,477,246.11
  5. Step 5: Solve for x
    x = 399,477,246.11/30,828.32
  6. Step 6: Final answer
    x = 12,958.13

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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.