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Finding the Fourth Proportional to 10,856, 16,286.16 and 4,700

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Solution

The fourth proportional to 10,856, 16,286.16 and 4,700 is: 7,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856 : 16,286.16 = 4,700 : x
  2. Step 2: Convert to fraction form
    10,856/16,286.16 = 4,700/x
  3. Step 3: Cross multiply
    10,856x = 16,286.16 × 4,700
  4. Step 4: Simplify right side
    10,856x = 76,544,952
  5. Step 5: Solve for x
    x = 76,544,952/10,856
  6. Step 6: Final answer
    x = 7,050.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.