Home / 2,277.08-3,416.26-816.28

Finding the Fourth Proportional to 2,277.08, 3,416.26 and 816.28

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Solution

The fourth proportional to 2,277.08, 3,416.26 and 816.28 is: 1,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.08 : 3,416.26 = 816.28 : x
  2. Step 2: Convert to fraction form
    2,277.08/3,416.26 = 816.28/x
  3. Step 3: Cross multiply
    2,277.08x = 3,416.26 × 816.28
  4. Step 4: Simplify right side
    2,277.08x = 2,788,624.71
  5. Step 5: Solve for x
    x = 2,788,624.71/2,277.08
  6. Step 6: Final answer
    x = 1,224.65

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1.5x scale

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.