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Finding the Fourth Proportional to 3,529.77, 4,870.83 and 1,957.83

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Solution

The fourth proportional to 3,529.77, 4,870.83 and 1,957.83 is: 2,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.77 : 4,870.83 = 1,957.83 : x
  2. Step 2: Convert to fraction form
    3,529.77/4,870.83 = 1,957.83/x
  3. Step 3: Cross multiply
    3,529.77x = 4,870.83 × 1,957.83
  4. Step 4: Simplify right side
    3,529.77x = 9,536,257.10
  5. Step 5: Solve for x
    x = 9,536,257.10/3,529.77
  6. Step 6: Final answer
    x = 2,701.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.