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Finding the Fourth Proportional to 6,491, 8,957.59 and 3,696.50

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Solution

The fourth proportional to 6,491, 8,957.59 and 3,696.50 is: 5,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491 : 8,957.59 = 3,696.50 : x
  2. Step 2: Convert to fraction form
    6,491/8,957.59 = 3,696.50/x
  3. Step 3: Cross multiply
    6,491x = 8,957.59 × 3,696.50
  4. Step 4: Simplify right side
    6,491x = 33,111,731.44
  5. Step 5: Solve for x
    x = 33,111,731.44/6,491
  6. Step 6: Final answer
    x = 5,101.18

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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.