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Finding the Fourth Proportional to 13,754.12, 18,980.76 and 7,466.52

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Solution

The fourth proportional to 13,754.12, 18,980.76 and 7,466.52 is: 10,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.12 : 18,980.76 = 7,466.52 : x
  2. Step 2: Convert to fraction form
    13,754.12/18,980.76 = 7,466.52/x
  3. Step 3: Cross multiply
    13,754.12x = 18,980.76 × 7,466.52
  4. Step 4: Simplify right side
    13,754.12x = 141,720,224.16
  5. Step 5: Solve for x
    x = 141,720,224.16/13,754.12
  6. Step 6: Final answer
    x = 10,303.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.