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Finding the Fourth Proportional to 13,753.72, 18,980.12 and 7,466.10

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Solution

The fourth proportional to 13,753.72, 18,980.12 and 7,466.10 is: 10,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.72 : 18,980.12 = 7,466.10 : x
  2. Step 2: Convert to fraction form
    13,753.72/18,980.12 = 7,466.10/x
  3. Step 3: Cross multiply
    13,753.72x = 18,980.12 × 7,466.10
  4. Step 4: Simplify right side
    13,753.72x = 141,707,473.93
  5. Step 5: Solve for x
    x = 141,707,473.93/13,753.72
  6. Step 6: Final answer
    x = 10,303.21

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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.