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Finding the Fourth Proportional to 10,242, 15,365.43 and 3,316.50

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Solution

The fourth proportional to 10,242, 15,365.43 and 3,316.50 is: 4,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242 : 15,365.43 = 3,316.50 : x
  2. Step 2: Convert to fraction form
    10,242/15,365.43 = 3,316.50/x
  3. Step 3: Cross multiply
    10,242x = 15,365.43 × 3,316.50
  4. Step 4: Simplify right side
    10,242x = 50,959,448.60
  5. Step 5: Solve for x
    x = 50,959,448.60/10,242
  6. Step 6: Final answer
    x = 4,975.54

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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.