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Finding the Fourth Proportional to 35,415.33, 53,132.15 and 13,228.91

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Solution

The fourth proportional to 35,415.33, 53,132.15 and 13,228.91 is: 19,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415.33 : 53,132.15 = 13,228.91 : x
  2. Step 2: Convert to fraction form
    35,415.33/53,132.15 = 13,228.91/x
  3. Step 3: Cross multiply
    35,415.33x = 53,132.15 × 13,228.91
  4. Step 4: Simplify right side
    35,415.33x = 702,880,098.65
  5. Step 5: Solve for x
    x = 702,880,098.65/35,415.33
  6. Step 6: Final answer
    x = 19,846.78

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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.