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Finding the Fourth Proportional to 13,813.76, 19,063.13 and 7,526.13

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Solution

The fourth proportional to 13,813.76, 19,063.13 and 7,526.13 is: 10,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.76 : 19,063.13 = 7,526.13 : x
  2. Step 2: Convert to fraction form
    13,813.76/19,063.13 = 7,526.13/x
  3. Step 3: Cross multiply
    13,813.76x = 19,063.13 × 7,526.13
  4. Step 4: Simplify right side
    13,813.76x = 143,471,556.96
  5. Step 5: Solve for x
    x = 143,471,556.96/13,813.76
  6. Step 6: Final answer
    x = 10,386.14

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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.