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Finding the Fourth Proportional to 13,488.68, 20,235.74 and 5,697.48

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Solution

The fourth proportional to 13,488.68, 20,235.74 and 5,697.48 is: 8,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.68 : 20,235.74 = 5,697.48 : x
  2. Step 2: Convert to fraction form
    13,488.68/20,235.74 = 5,697.48/x
  3. Step 3: Cross multiply
    13,488.68x = 20,235.74 × 5,697.48
  4. Step 4: Simplify right side
    13,488.68x = 115,292,723.94
  5. Step 5: Solve for x
    x = 115,292,723.94/13,488.68
  6. Step 6: Final answer
    x = 8,547.37

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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.