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Finding the Fourth Proportional to 5,782.60, 8,672.06 and 1,886.10

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Solution

The fourth proportional to 5,782.60, 8,672.06 and 1,886.10 is: 2,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.60 : 8,672.06 = 1,886.10 : x
  2. Step 2: Convert to fraction form
    5,782.60/8,672.06 = 1,886.10/x
  3. Step 3: Cross multiply
    5,782.60x = 8,672.06 × 1,886.10
  4. Step 4: Simplify right side
    5,782.60x = 16,356,372.37
  5. Step 5: Solve for x
    x = 16,356,372.37/5,782.60
  6. Step 6: Final answer
    x = 2,828.55

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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.