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Finding the Fourth Proportional to 7,564.50, 10,438.62 and 4,420.50

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Solution

The fourth proportional to 7,564.50, 10,438.62 and 4,420.50 is: 6,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.50 : 10,438.62 = 4,420.50 : x
  2. Step 2: Convert to fraction form
    7,564.50/10,438.62 = 4,420.50/x
  3. Step 3: Cross multiply
    7,564.50x = 10,438.62 × 4,420.50
  4. Step 4: Simplify right side
    7,564.50x = 46,143,919.71
  5. Step 5: Solve for x
    x = 46,143,919.71/7,564.50
  6. Step 6: Final answer
    x = 6,100.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.