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Finding the Fourth Proportional to 7,102.56, 10,652.64 and 1,907.28

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Solution

The fourth proportional to 7,102.56, 10,652.64 and 1,907.28 is: 2,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.56 : 10,652.64 = 1,907.28 : x
  2. Step 2: Convert to fraction form
    7,102.56/10,652.64 = 1,907.28/x
  3. Step 3: Cross multiply
    7,102.56x = 10,652.64 × 1,907.28
  4. Step 4: Simplify right side
    7,102.56x = 20,317,567.22
  5. Step 5: Solve for x
    x = 20,317,567.22/7,102.56
  6. Step 6: Final answer
    x = 2,860.60

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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.