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Finding the Fourth Proportional to 26,705.76, 40,084.65 and 12,864.48

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Solution

The fourth proportional to 26,705.76, 40,084.65 and 12,864.48 is: 19,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.76 : 40,084.65 = 12,864.48 : x
  2. Step 2: Convert to fraction form
    26,705.76/40,084.65 = 12,864.48/x
  3. Step 3: Cross multiply
    26,705.76x = 40,084.65 × 12,864.48
  4. Step 4: Simplify right side
    26,705.76x = 515,668,178.23
  5. Step 5: Solve for x
    x = 515,668,178.23/26,705.76
  6. Step 6: Final answer
    x = 19,309.25

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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.