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Finding the Fourth Proportional to 4,862.64, 6,706.48 and 3,091.20

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Solution

The fourth proportional to 4,862.64, 6,706.48 and 3,091.20 is: 4,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.64 : 6,706.48 = 3,091.20 : x
  2. Step 2: Convert to fraction form
    4,862.64/6,706.48 = 3,091.20/x
  3. Step 3: Cross multiply
    4,862.64x = 6,706.48 × 3,091.20
  4. Step 4: Simplify right side
    4,862.64x = 20,731,070.98
  5. Step 5: Solve for x
    x = 20,731,070.98/4,862.64
  6. Step 6: Final answer
    x = 4,263.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.