Home / 2,277.09-3,415.63-816.35

Finding the Fourth Proportional to 2,277.09, 3,415.63 and 816.35

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Solution

The fourth proportional to 2,277.09, 3,415.63 and 816.35 is: 1,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.09 : 3,415.63 = 816.35 : x
  2. Step 2: Convert to fraction form
    2,277.09/3,415.63 = 816.35/x
  3. Step 3: Cross multiply
    2,277.09x = 3,415.63 × 816.35
  4. Step 4: Simplify right side
    2,277.09x = 2,788,349.55
  5. Step 5: Solve for x
    x = 2,788,349.55/2,277.09
  6. Step 6: Final answer
    x = 1,224.52

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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.