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Finding the Fourth Proportional to 19,858, 27,416.90 and 12,312.37

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Solution

The fourth proportional to 19,858, 27,416.90 and 12,312.37 is: 16,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858 : 27,416.90 = 12,312.37 : x
  2. Step 2: Convert to fraction form
    19,858/27,416.90 = 12,312.37/x
  3. Step 3: Cross multiply
    19,858x = 27,416.90 × 12,312.37
  4. Step 4: Simplify right side
    19,858x = 337,567,017.05
  5. Step 5: Solve for x
    x = 337,567,017.05/19,858
  6. Step 6: Final answer
    x = 16,999.04

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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.