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Finding the Fourth Proportional to 30,991.33, 46,488.10 and 9,928.64

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Solution

The fourth proportional to 30,991.33, 46,488.10 and 9,928.64 is: 14,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.33 : 46,488.10 = 9,928.64 : x
  2. Step 2: Convert to fraction form
    30,991.33/46,488.10 = 9,928.64/x
  3. Step 3: Cross multiply
    30,991.33x = 46,488.10 × 9,928.64
  4. Step 4: Simplify right side
    30,991.33x = 461,563,609.18
  5. Step 5: Solve for x
    x = 461,563,609.18/30,991.33
  6. Step 6: Final answer
    x = 14,893.31

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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.