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Finding the Fourth Proportional to 2,869.57, 3,956.30 and 1,859.47

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Solution

The fourth proportional to 2,869.57, 3,956.30 and 1,859.47 is: 2,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.57 : 3,956.30 = 1,859.47 : x
  2. Step 2: Convert to fraction form
    2,869.57/3,956.30 = 1,859.47/x
  3. Step 3: Cross multiply
    2,869.57x = 3,956.30 × 1,859.47
  4. Step 4: Simplify right side
    2,869.57x = 7,356,621.16
  5. Step 5: Solve for x
    x = 7,356,621.16/2,869.57
  6. Step 6: Final answer
    x = 2,563.67

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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.