Home / 5,314.84-7,971.64-1,419.55

Finding the Fourth Proportional to 5,314.84, 7,971.64 and 1,419.55

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Solution

The fourth proportional to 5,314.84, 7,971.64 and 1,419.55 is: 2,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.84 : 7,971.64 = 1,419.55 : x
  2. Step 2: Convert to fraction form
    5,314.84/7,971.64 = 1,419.55/x
  3. Step 3: Cross multiply
    5,314.84x = 7,971.64 × 1,419.55
  4. Step 4: Simplify right side
    5,314.84x = 11,316,141.56
  5. Step 5: Solve for x
    x = 11,316,141.56/5,314.84
  6. Step 6: Final answer
    x = 2,129.16

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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.