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Finding the Fourth Proportional to 30,811.74, 46,218.76 and 8,624.54

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Solution

The fourth proportional to 30,811.74, 46,218.76 and 8,624.54 is: 12,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.74 : 46,218.76 = 8,624.54 : x
  2. Step 2: Convert to fraction form
    30,811.74/46,218.76 = 8,624.54/x
  3. Step 3: Cross multiply
    30,811.74x = 46,218.76 × 8,624.54
  4. Step 4: Simplify right side
    30,811.74x = 398,615,544.37
  5. Step 5: Solve for x
    x = 398,615,544.37/30,811.74
  6. Step 6: Final answer
    x = 12,937.13

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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.