Home / 2,278.16-3,415.40-816.40

Finding the Fourth Proportional to 2,278.16, 3,415.40 and 816.40

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Solution

The fourth proportional to 2,278.16, 3,415.40 and 816.40 is: 1,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.16 : 3,415.40 = 816.40 : x
  2. Step 2: Convert to fraction form
    2,278.16/3,415.40 = 816.40/x
  3. Step 3: Cross multiply
    2,278.16x = 3,415.40 × 816.40
  4. Step 4: Simplify right side
    2,278.16x = 2,788,332.56
  5. Step 5: Solve for x
    x = 2,788,332.56/2,278.16
  6. Step 6: Final answer
    x = 1,223.94

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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.