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Finding the Fourth Proportional to 26,513, 36,590.36 and 15,186.16

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Solution

The fourth proportional to 26,513, 36,590.36 and 15,186.16 is: 20,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,513 : 36,590.36 = 15,186.16 : x
  2. Step 2: Convert to fraction form
    26,513/36,590.36 = 15,186.16/x
  3. Step 3: Cross multiply
    26,513x = 36,590.36 × 15,186.16
  4. Step 4: Simplify right side
    26,513x = 555,667,061.42
  5. Step 5: Solve for x
    x = 555,667,061.42/26,513
  6. Step 6: Final answer
    x = 20,958.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.