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Finding the Fourth Proportional to 31,185.54, 46,804.68 and 12,478.68

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Solution

The fourth proportional to 31,185.54, 46,804.68 and 12,478.68 is: 18,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.54 : 46,804.68 = 12,478.68 : x
  2. Step 2: Convert to fraction form
    31,185.54/46,804.68 = 12,478.68/x
  3. Step 3: Cross multiply
    31,185.54x = 46,804.68 × 12,478.68
  4. Step 4: Simplify right side
    31,185.54x = 584,060,624.22
  5. Step 5: Solve for x
    x = 584,060,624.22/31,185.54
  6. Step 6: Final answer
    x = 18,728.57

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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.