Home / 5,211-7,816.64-1,315.44

Finding the Fourth Proportional to 5,211, 7,816.64 and 1,315.44

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Solution

The fourth proportional to 5,211, 7,816.64 and 1,315.44 is: 1,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211 : 7,816.64 = 1,315.44 : x
  2. Step 2: Convert to fraction form
    5,211/7,816.64 = 1,315.44/x
  3. Step 3: Cross multiply
    5,211x = 7,816.64 × 1,315.44
  4. Step 4: Simplify right side
    5,211x = 10,282,314.34
  5. Step 5: Solve for x
    x = 10,282,314.34/5,211
  6. Step 6: Final answer
    x = 1,973.19

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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.