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Finding the Fourth Proportional to 13,394, 18,483.72 and 7,806.08

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Solution

The fourth proportional to 13,394, 18,483.72 and 7,806.08 is: 10,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394 : 18,483.72 = 7,806.08 : x
  2. Step 2: Convert to fraction form
    13,394/18,483.72 = 7,806.08/x
  3. Step 3: Cross multiply
    13,394x = 18,483.72 × 7,806.08
  4. Step 4: Simplify right side
    13,394x = 144,285,397.02
  5. Step 5: Solve for x
    x = 144,285,397.02/13,394
  6. Step 6: Final answer
    x = 10,772.39

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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.