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Finding the Fourth Proportional to 2,835.81, 4,253.69 and 986.93

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Solution

The fourth proportional to 2,835.81, 4,253.69 and 986.93 is: 1,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.81 : 4,253.69 = 986.93 : x
  2. Step 2: Convert to fraction form
    2,835.81/4,253.69 = 986.93/x
  3. Step 3: Cross multiply
    2,835.81x = 4,253.69 × 986.93
  4. Step 4: Simplify right side
    2,835.81x = 4,198,068.07
  5. Step 5: Solve for x
    x = 4,198,068.07/2,835.81
  6. Step 6: Final answer
    x = 1,480.38

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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.