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Finding the Fourth Proportional to 13,507, 18,641.82 and 7,918

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Solution

The fourth proportional to 13,507, 18,641.82 and 7,918 is: 10,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507 : 18,641.82 = 7,918 : x
  2. Step 2: Convert to fraction form
    13,507/18,641.82 = 7,918/x
  3. Step 3: Cross multiply
    13,507x = 18,641.82 × 7,918
  4. Step 4: Simplify right side
    13,507x = 147,605,930.76
  5. Step 5: Solve for x
    x = 147,605,930.76/13,507
  6. Step 6: Final answer
    x = 10,928.11

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Why These Related Problems?

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