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Finding the Fourth Proportional to 2,118.95, 3,178.16 and 559.07

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Solution

The fourth proportional to 2,118.95, 3,178.16 and 559.07 is: 838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.95 : 3,178.16 = 559.07 : x
  2. Step 2: Convert to fraction form
    2,118.95/3,178.16 = 559.07/x
  3. Step 3: Cross multiply
    2,118.95x = 3,178.16 × 559.07
  4. Step 4: Simplify right side
    2,118.95x = 1,776,822.45
  5. Step 5: Solve for x
    x = 1,776,822.45/2,118.95
  6. Step 6: Final answer
    x = 838.54

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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.