Home / 5,102.31-7,652.59-1,403.72

Finding the Fourth Proportional to 5,102.31, 7,652.59 and 1,403.72

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Solution

The fourth proportional to 5,102.31, 7,652.59 and 1,403.72 is: 2,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.31 : 7,652.59 = 1,403.72 : x
  2. Step 2: Convert to fraction form
    5,102.31/7,652.59 = 1,403.72/x
  3. Step 3: Cross multiply
    5,102.31x = 7,652.59 × 1,403.72
  4. Step 4: Simplify right side
    5,102.31x = 10,742,093.63
  5. Step 5: Solve for x
    x = 10,742,093.63/5,102.31
  6. Step 6: Final answer
    x = 2,105.34

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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.