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Finding the Fourth Proportional to 30,783.02, 46,174.55 and 7,409.48

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Solution

The fourth proportional to 30,783.02, 46,174.55 and 7,409.48 is: 11,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.02 : 46,174.55 = 7,409.48 : x
  2. Step 2: Convert to fraction form
    30,783.02/46,174.55 = 7,409.48/x
  3. Step 3: Cross multiply
    30,783.02x = 46,174.55 × 7,409.48
  4. Step 4: Simplify right side
    30,783.02x = 342,129,136.81
  5. Step 5: Solve for x
    x = 342,129,136.81/30,783.02
  6. Step 6: Final answer
    x = 11,114.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.