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Finding the Fourth Proportional to 26,689, 36,830.82 and 14,913

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Solution

The fourth proportional to 26,689, 36,830.82 and 14,913 is: 20,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,689 : 36,830.82 = 14,913 : x
  2. Step 2: Convert to fraction form
    26,689/36,830.82 = 14,913/x
  3. Step 3: Cross multiply
    26,689x = 36,830.82 × 14,913
  4. Step 4: Simplify right side
    26,689x = 549,258,018.66
  5. Step 5: Solve for x
    x = 549,258,018.66/26,689
  6. Step 6: Final answer
    x = 20,579.94

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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.