Home / 5,101.31-7,652.14-1,403.53

Finding the Fourth Proportional to 5,101.31, 7,652.14 and 1,403.53

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Solution

The fourth proportional to 5,101.31, 7,652.14 and 1,403.53 is: 2,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.31 : 7,652.14 = 1,403.53 : x
  2. Step 2: Convert to fraction form
    5,101.31/7,652.14 = 1,403.53/x
  3. Step 3: Cross multiply
    5,101.31x = 7,652.14 × 1,403.53
  4. Step 4: Simplify right side
    5,101.31x = 10,739,985.42
  5. Step 5: Solve for x
    x = 10,739,985.42/5,101.31
  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.