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Finding the Fourth Proportional to 13,730.84, 18,948.66 and 7,443.26

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Solution

The fourth proportional to 13,730.84, 18,948.66 and 7,443.26 is: 10,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.84 : 18,948.66 = 7,443.26 : x
  2. Step 2: Convert to fraction form
    13,730.84/18,948.66 = 7,443.26/x
  3. Step 3: Cross multiply
    13,730.84x = 18,948.66 × 7,443.26
  4. Step 4: Simplify right side
    13,730.84x = 141,039,803.03
  5. Step 5: Solve for x
    x = 141,039,803.03/13,730.84
  6. Step 6: Final answer
    x = 10,271.75

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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.