Home / 5,214-7,821.48-1,751.28

Finding the Fourth Proportional to 5,214, 7,821.48 and 1,751.28

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Solution

The fourth proportional to 5,214, 7,821.48 and 1,751.28 is: 2,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 7,821.48 = 1,751.28 : x
  2. Step 2: Convert to fraction form
    5,214/7,821.48 = 1,751.28/x
  3. Step 3: Cross multiply
    5,214x = 7,821.48 × 1,751.28
  4. Step 4: Simplify right side
    5,214x = 13,697,601.49
  5. Step 5: Solve for x
    x = 13,697,601.49/5,214
  6. Step 6: Final answer
    x = 2,627.08

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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.