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Finding the Fourth Proportional to 4,659.68, 6,980.28 and 2,811.32

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Solution

The fourth proportional to 4,659.68, 6,980.28 and 2,811.32 is: 4,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.68 : 6,980.28 = 2,811.32 : x
  2. Step 2: Convert to fraction form
    4,659.68/6,980.28 = 2,811.32/x
  3. Step 3: Cross multiply
    4,659.68x = 6,980.28 × 2,811.32
  4. Step 4: Simplify right side
    4,659.68x = 19,623,800.77
  5. Step 5: Solve for x
    x = 19,623,800.77/4,659.68
  6. Step 6: Final answer
    x = 4,211.41

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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.