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Finding the Fourth Proportional to 26,889, 40,348.08 and 13,038

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Solution

The fourth proportional to 26,889, 40,348.08 and 13,038 is: 19,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,889 : 40,348.08 = 13,038 : x
  2. Step 2: Convert to fraction form
    26,889/40,348.08 = 13,038/x
  3. Step 3: Cross multiply
    26,889x = 40,348.08 × 13,038
  4. Step 4: Simplify right side
    26,889x = 526,058,267.04
  5. Step 5: Solve for x
    x = 526,058,267.04/26,889
  6. Step 6: Final answer
    x = 19,564.07

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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.