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Finding the Fourth Proportional to 2,835.96, 4,252.38 and 986.93

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Solution

The fourth proportional to 2,835.96, 4,252.38 and 986.93 is: 1,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.96 : 4,252.38 = 986.93 : x
  2. Step 2: Convert to fraction form
    2,835.96/4,252.38 = 986.93/x
  3. Step 3: Cross multiply
    2,835.96x = 4,252.38 × 986.93
  4. Step 4: Simplify right side
    2,835.96x = 4,196,780.13
  5. Step 5: Solve for x
    x = 4,196,780.13/2,835.96
  6. Step 6: Final answer
    x = 1,479.84

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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.