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Finding the Fourth Proportional to 2,806.50, 3,873.06 and 1,564.50

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Solution

The fourth proportional to 2,806.50, 3,873.06 and 1,564.50 is: 2,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.50 : 3,873.06 = 1,564.50 : x
  2. Step 2: Convert to fraction form
    2,806.50/3,873.06 = 1,564.50/x
  3. Step 3: Cross multiply
    2,806.50x = 3,873.06 × 1,564.50
  4. Step 4: Simplify right side
    2,806.50x = 6,059,402.37
  5. Step 5: Solve for x
    x = 6,059,402.37/2,806.50
  6. Step 6: Final answer
    x = 2,159.06

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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.