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Finding the Fourth Proportional to 13,583.85, 18,746.94 and 7,918.16

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Solution

The fourth proportional to 13,583.85, 18,746.94 and 7,918.16 is: 10,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.85 : 18,746.94 = 7,918.16 : x
  2. Step 2: Convert to fraction form
    13,583.85/18,746.94 = 7,918.16/x
  3. Step 3: Cross multiply
    13,583.85x = 18,746.94 × 7,918.16
  4. Step 4: Simplify right side
    13,583.85x = 148,441,206.39
  5. Step 5: Solve for x
    x = 148,441,206.39/13,583.85
  6. Step 6: Final answer
    x = 10,927.77

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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.