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Finding the Fourth Proportional to 41,186, 61,779.54 and 13,484

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Solution

The fourth proportional to 41,186, 61,779.54 and 13,484 is: 20,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,186 : 61,779.54 = 13,484 : x
  2. Step 2: Convert to fraction form
    41,186/61,779.54 = 13,484/x
  3. Step 3: Cross multiply
    41,186x = 61,779.54 × 13,484
  4. Step 4: Simplify right side
    41,186x = 833,035,317.36
  5. Step 5: Solve for x
    x = 833,035,317.36/41,186
  6. Step 6: Final answer
    x = 20,226.18

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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.