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Finding the Fourth Proportional to 30,991.68, 46,487.12 and 7,618.32

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Solution

The fourth proportional to 30,991.68, 46,487.12 and 7,618.32 is: 11,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.68 : 46,487.12 = 7,618.32 : x
  2. Step 2: Convert to fraction form
    30,991.68/46,487.12 = 7,618.32/x
  3. Step 3: Cross multiply
    30,991.68x = 46,487.12 × 7,618.32
  4. Step 4: Simplify right side
    30,991.68x = 354,153,756.04
  5. Step 5: Solve for x
    x = 354,153,756.04/30,991.68
  6. Step 6: Final answer
    x = 11,427.38

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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.