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Finding the Fourth Proportional to 30,406.02, 45,578 and 17,230.56

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Solution

The fourth proportional to 30,406.02, 45,578 and 17,230.56 is: 25,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.02 : 45,578 = 17,230.56 : x
  2. Step 2: Convert to fraction form
    30,406.02/45,578 = 17,230.56/x
  3. Step 3: Cross multiply
    30,406.02x = 45,578 × 17,230.56
  4. Step 4: Simplify right side
    30,406.02x = 785,334,463.68
  5. Step 5: Solve for x
    x = 785,334,463.68/30,406.02
  6. Step 6: Final answer
    x = 25,828.26

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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.