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Finding the Fourth Proportional to 3,030.42, 4,544.82 and 838.98

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Solution

The fourth proportional to 3,030.42, 4,544.82 and 838.98 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.42 : 4,544.82 = 838.98 : x
  2. Step 2: Convert to fraction form
    3,030.42/4,544.82 = 838.98/x
  3. Step 3: Cross multiply
    3,030.42x = 4,544.82 × 838.98
  4. Step 4: Simplify right side
    3,030.42x = 3,813,013.08
  5. Step 5: Solve for x
    x = 3,813,013.08/3,030.42
  6. Step 6: Final answer
    x = 1,258.25

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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.