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Finding the Fourth Proportional to 35,830.96, 53,709.38 and 12,130.66

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Solution

The fourth proportional to 35,830.96, 53,709.38 and 12,130.66 is: 18,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.96 : 53,709.38 = 12,130.66 : x
  2. Step 2: Convert to fraction form
    35,830.96/53,709.38 = 12,130.66/x
  3. Step 3: Cross multiply
    35,830.96x = 53,709.38 × 12,130.66
  4. Step 4: Simplify right side
    35,830.96x = 651,530,279.56
  5. Step 5: Solve for x
    x = 651,530,279.56/35,830.96
  6. Step 6: Final answer
    x = 18,183.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.