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Finding the Fourth Proportional to 30,735.36, 45,986.36 and 19,019.52

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Solution

The fourth proportional to 30,735.36, 45,986.36 and 19,019.52 is: 28,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.36 : 45,986.36 = 19,019.52 : x
  2. Step 2: Convert to fraction form
    30,735.36/45,986.36 = 19,019.52/x
  3. Step 3: Cross multiply
    30,735.36x = 45,986.36 × 19,019.52
  4. Step 4: Simplify right side
    30,735.36x = 874,638,493.75
  5. Step 5: Solve for x
    x = 874,638,493.75/30,735.36
  6. Step 6: Final answer
    x = 28,457.08

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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.