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Finding the Fourth Proportional to 30,881.85, 46,322.78 and 7,508.09

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Solution

The fourth proportional to 30,881.85, 46,322.78 and 7,508.09 is: 11,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.85 : 46,322.78 = 7,508.09 : x
  2. Step 2: Convert to fraction form
    30,881.85/46,322.78 = 7,508.09/x
  3. Step 3: Cross multiply
    30,881.85x = 46,322.78 × 7,508.09
  4. Step 4: Simplify right side
    30,881.85x = 347,795,332.14
  5. Step 5: Solve for x
    x = 347,795,332.14/30,881.85
  6. Step 6: Final answer
    x = 11,262.13

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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.