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Finding the Fourth Proportional to 13,057.29, 18,019.07 and 7,088.96

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Solution

The fourth proportional to 13,057.29, 18,019.07 and 7,088.96 is: 9,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.29 : 18,019.07 = 7,088.96 : x
  2. Step 2: Convert to fraction form
    13,057.29/18,019.07 = 7,088.96/x
  3. Step 3: Cross multiply
    13,057.29x = 18,019.07 × 7,088.96
  4. Step 4: Simplify right side
    13,057.29x = 127,736,466.47
  5. Step 5: Solve for x
    x = 127,736,466.47/13,057.29
  6. Step 6: Final answer
    x = 9,782.77

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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.