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Finding the Fourth Proportional to 2,835.57, 4,254.57 and 985.67

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Solution

The fourth proportional to 2,835.57, 4,254.57 and 985.67 is: 1,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.57 : 4,254.57 = 985.67 : x
  2. Step 2: Convert to fraction form
    2,835.57/4,254.57 = 985.67/x
  3. Step 3: Cross multiply
    2,835.57x = 4,254.57 × 985.67
  4. Step 4: Simplify right side
    2,835.57x = 4,193,610.18
  5. Step 5: Solve for x
    x = 4,193,610.18/2,835.57
  6. Step 6: Final answer
    x = 1,478.93

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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.