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Finding the Fourth Proportional to 34,501.60, 51,739.60 and 13,720.80

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Solution

The fourth proportional to 34,501.60, 51,739.60 and 13,720.80 is: 20,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,501.60 : 51,739.60 = 13,720.80 : x
  2. Step 2: Convert to fraction form
    34,501.60/51,739.60 = 13,720.80/x
  3. Step 3: Cross multiply
    34,501.60x = 51,739.60 × 13,720.80
  4. Step 4: Simplify right side
    34,501.60x = 709,908,703.68
  5. Step 5: Solve for x
    x = 709,908,703.68/34,501.60
  6. Step 6: Final answer
    x = 20,576.11

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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.