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Finding the Fourth Proportional to 11,706.15, 16,145.42 and 6,985.47

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Solution

The fourth proportional to 11,706.15, 16,145.42 and 6,985.47 is: 9,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.15 : 16,145.42 = 6,985.47 : x
  2. Step 2: Convert to fraction form
    11,706.15/16,145.42 = 6,985.47/x
  3. Step 3: Cross multiply
    11,706.15x = 16,145.42 × 6,985.47
  4. Step 4: Simplify right side
    11,706.15x = 112,783,312.12
  5. Step 5: Solve for x
    x = 112,783,312.12/11,706.15
  6. Step 6: Final answer
    x = 9,634.54

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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.