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Finding the Fourth Proportional to 2,835.47, 4,252.94 and 986.51

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Solution

The fourth proportional to 2,835.47, 4,252.94 and 986.51 is: 1,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.47 : 4,252.94 = 986.51 : x
  2. Step 2: Convert to fraction form
    2,835.47/4,252.94 = 986.51/x
  3. Step 3: Cross multiply
    2,835.47x = 4,252.94 × 986.51
  4. Step 4: Simplify right side
    2,835.47x = 4,195,562.91
  5. Step 5: Solve for x
    x = 4,195,562.91/2,835.47
  6. Step 6: Final answer
    x = 1,479.67

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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.