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Finding the Fourth Proportional to 8,485.84, 11,701.62 and 5,128

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Solution

The fourth proportional to 8,485.84, 11,701.62 and 5,128 is: 7,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.84 : 11,701.62 = 5,128 : x
  2. Step 2: Convert to fraction form
    8,485.84/11,701.62 = 5,128/x
  3. Step 3: Cross multiply
    8,485.84x = 11,701.62 × 5,128
  4. Step 4: Simplify right side
    8,485.84x = 60,005,907.36
  5. Step 5: Solve for x
    x = 60,005,907.36/8,485.84
  6. Step 6: Final answer
    x = 7,071.30

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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.