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Finding the Fourth Proportional to 4,659.74, 6,989.87 and 1,886.34

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Solution

The fourth proportional to 4,659.74, 6,989.87 and 1,886.34 is: 2,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.74 : 6,989.87 = 1,886.34 : x
  2. Step 2: Convert to fraction form
    4,659.74/6,989.87 = 1,886.34/x
  3. Step 3: Cross multiply
    4,659.74x = 6,989.87 × 1,886.34
  4. Step 4: Simplify right side
    4,659.74x = 13,185,261.94
  5. Step 5: Solve for x
    x = 13,185,261.94/4,659.74
  6. Step 6: Final answer
    x = 2,829.62

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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.