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Finding the Fourth Proportional to 30,991.40, 46,486.68 and 7,617.64

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Solution

The fourth proportional to 30,991.40, 46,486.68 and 7,617.64 is: 11,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.40 : 46,486.68 = 7,617.64 : x
  2. Step 2: Convert to fraction form
    30,991.40/46,486.68 = 7,617.64/x
  3. Step 3: Cross multiply
    30,991.40x = 46,486.68 × 7,617.64
  4. Step 4: Simplify right side
    30,991.40x = 354,118,793.04
  5. Step 5: Solve for x
    x = 354,118,793.04/30,991.40
  6. Step 6: Final answer
    x = 11,426.36

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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.