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Finding the Fourth Proportional to 12,011.90, 16,575.91 and 6,706.61

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Solution

The fourth proportional to 12,011.90, 16,575.91 and 6,706.61 is: 9,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.90 : 16,575.91 = 6,706.61 : x
  2. Step 2: Convert to fraction form
    12,011.90/16,575.91 = 6,706.61/x
  3. Step 3: Cross multiply
    12,011.90x = 16,575.91 × 6,706.61
  4. Step 4: Simplify right side
    12,011.90x = 111,168,064.12
  5. Step 5: Solve for x
    x = 111,168,064.12/12,011.90
  6. Step 6: Final answer
    x = 9,254.83

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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.