Home / 5,216-7,824.84-1,754.08

Finding the Fourth Proportional to 5,216, 7,824.84 and 1,754.08

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Solution

The fourth proportional to 5,216, 7,824.84 and 1,754.08 is: 2,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 7,824.84 = 1,754.08 : x
  2. Step 2: Convert to fraction form
    5,216/7,824.84 = 1,754.08/x
  3. Step 3: Cross multiply
    5,216x = 7,824.84 × 1,754.08
  4. Step 4: Simplify right side
    5,216x = 13,725,395.35
  5. Step 5: Solve for x
    x = 13,725,395.35/5,216
  6. Step 6: Final answer
    x = 2,631.40

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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.