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Finding the Fourth Proportional to 30,991.92, 46,509.84 and 13,466.88

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Solution

The fourth proportional to 30,991.92, 46,509.84 and 13,466.88 is: 20,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.92 : 46,509.84 = 13,466.88 : x
  2. Step 2: Convert to fraction form
    30,991.92/46,509.84 = 13,466.88/x
  3. Step 3: Cross multiply
    30,991.92x = 46,509.84 × 13,466.88
  4. Step 4: Simplify right side
    30,991.92x = 626,342,434.10
  5. Step 5: Solve for x
    x = 626,342,434.10/30,991.92
  6. Step 6: Final answer
    x = 20,209.86

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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.