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Finding the Fourth Proportional to 13,813.78, 19,062.98 and 7,526.20

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Solution

The fourth proportional to 13,813.78, 19,062.98 and 7,526.20 is: 10,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.78 : 19,062.98 = 7,526.20 : x
  2. Step 2: Convert to fraction form
    13,813.78/19,062.98 = 7,526.20/x
  3. Step 3: Cross multiply
    13,813.78x = 19,062.98 × 7,526.20
  4. Step 4: Simplify right side
    13,813.78x = 143,471,800.08
  5. Step 5: Solve for x
    x = 143,471,800.08/13,813.78
  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.