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Finding the Fourth Proportional to 11,577.68, 17,366.52 and 7,689.68

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Solution

The fourth proportional to 11,577.68, 17,366.52 and 7,689.68 is: 11,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.68 : 17,366.52 = 7,689.68 : x
  2. Step 2: Convert to fraction form
    11,577.68/17,366.52 = 7,689.68/x
  3. Step 3: Cross multiply
    11,577.68x = 17,366.52 × 7,689.68
  4. Step 4: Simplify right side
    11,577.68x = 133,542,981.51
  5. Step 5: Solve for x
    x = 133,542,981.51/11,577.68
  6. Step 6: Final answer
    x = 11,534.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.