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Finding the Fourth Proportional to 8,696.30, 11,995.43 and 5,157

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Solution

The fourth proportional to 8,696.30, 11,995.43 and 5,157 is: 7,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.30 : 11,995.43 = 5,157 : x
  2. Step 2: Convert to fraction form
    8,696.30/11,995.43 = 5,157/x
  3. Step 3: Cross multiply
    8,696.30x = 11,995.43 × 5,157
  4. Step 4: Simplify right side
    8,696.30x = 61,860,406.73
  5. Step 5: Solve for x
    x = 61,860,406.73/8,696.30
  6. Step 6: Final answer
    x = 7,113.42

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1.5x scale

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.