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Finding the Fourth Proportional to 6,386.00, 8,812.93 and 3,866.67

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Solution

The fourth proportional to 6,386.00, 8,812.93 and 3,866.67 is: 5,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.00 : 8,812.93 = 3,866.67 : x
  2. Step 2: Convert to fraction form
    6,386.00/8,812.93 = 3,866.67/x
  3. Step 3: Cross multiply
    6,386.00x = 8,812.93 × 3,866.67
  4. Step 4: Simplify right side
    6,386.00x = 34,076,672.71
  5. Step 5: Solve for x
    x = 34,076,672.71/6,386.00
  6. Step 6: Final answer
    x = 5,336.16

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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.