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Finding the Fourth Proportional to 7,004.50, 10,508.55 and 2,387.50

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Solution

The fourth proportional to 7,004.50, 10,508.55 and 2,387.50 is: 3,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.50 : 10,508.55 = 2,387.50 : x
  2. Step 2: Convert to fraction form
    7,004.50/10,508.55 = 2,387.50/x
  3. Step 3: Cross multiply
    7,004.50x = 10,508.55 × 2,387.50
  4. Step 4: Simplify right side
    7,004.50x = 25,089,163.13
  5. Step 5: Solve for x
    x = 25,089,163.13/7,004.50
  6. Step 6: Final answer
    x = 3,581.86

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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.