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Finding the Fourth Proportional to 41,130.99, 61,689.60 and 13,428.99

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Solution

The fourth proportional to 41,130.99, 61,689.60 and 13,428.99 is: 20,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130.99 : 61,689.60 = 13,428.99 : x
  2. Step 2: Convert to fraction form
    41,130.99/61,689.60 = 13,428.99/x
  3. Step 3: Cross multiply
    41,130.99x = 61,689.60 × 13,428.99
  4. Step 4: Simplify right side
    41,130.99x = 828,429,021.50
  5. Step 5: Solve for x
    x = 828,429,021.50/41,130.99
  6. Step 6: Final answer
    x = 20,141.24

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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.