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Finding the Fourth Proportional to 30,884.32, 46,326.48 and 12,412

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Solution

The fourth proportional to 30,884.32, 46,326.48 and 12,412 is: 18,618

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.32 : 46,326.48 = 12,412 : x
  2. Step 2: Convert to fraction form
    30,884.32/46,326.48 = 12,412/x
  3. Step 3: Cross multiply
    30,884.32x = 46,326.48 × 12,412
  4. Step 4: Simplify right side
    30,884.32x = 575,004,269.76
  5. Step 5: Solve for x
    x = 575,004,269.76/30,884.32
  6. Step 6: Final answer
    x = 18,618

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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.