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Finding the Fourth Proportional to 13,582.94, 20,370.46 and 5,261.10

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Solution

The fourth proportional to 13,582.94, 20,370.46 and 5,261.10 is: 7,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.94 : 20,370.46 = 5,261.10 : x
  2. Step 2: Convert to fraction form
    13,582.94/20,370.46 = 5,261.10/x
  3. Step 3: Cross multiply
    13,582.94x = 20,370.46 × 5,261.10
  4. Step 4: Simplify right side
    13,582.94x = 107,171,027.11
  5. Step 5: Solve for x
    x = 107,171,027.11/13,582.94
  6. Step 6: Final answer
    x = 7,890.12

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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.