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Finding the Fourth Proportional to 13,396, 18,486.48 and 7,808.08

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Solution

The fourth proportional to 13,396, 18,486.48 and 7,808.08 is: 10,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396 : 18,486.48 = 7,808.08 : x
  2. Step 2: Convert to fraction form
    13,396/18,486.48 = 7,808.08/x
  3. Step 3: Cross multiply
    13,396x = 18,486.48 × 7,808.08
  4. Step 4: Simplify right side
    13,396x = 144,343,914.76
  5. Step 5: Solve for x
    x = 144,343,914.76/13,396
  6. Step 6: Final answer
    x = 10,775.15

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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.