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Finding the Fourth Proportional to 26,478.16, 39,722.71 and 7,758.81

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Solution

The fourth proportional to 26,478.16, 39,722.71 and 7,758.81 is: 11,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.16 : 39,722.71 = 7,758.81 : x
  2. Step 2: Convert to fraction form
    26,478.16/39,722.71 = 7,758.81/x
  3. Step 3: Cross multiply
    26,478.16x = 39,722.71 × 7,758.81
  4. Step 4: Simplify right side
    26,478.16x = 308,200,959.58
  5. Step 5: Solve for x
    x = 308,200,959.58/26,478.16
  6. Step 6: Final answer
    x = 11,639.82

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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.