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Finding the Fourth Proportional to 14,085.38, 19,438.25 and 7,797.76

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Solution

The fourth proportional to 14,085.38, 19,438.25 and 7,797.76 is: 10,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.38 : 19,438.25 = 7,797.76 : x
  2. Step 2: Convert to fraction form
    14,085.38/19,438.25 = 7,797.76/x
  3. Step 3: Cross multiply
    14,085.38x = 19,438.25 × 7,797.76
  4. Step 4: Simplify right side
    14,085.38x = 151,574,720.74
  5. Step 5: Solve for x
    x = 151,574,720.74/14,085.38
  6. Step 6: Final answer
    x = 10,761.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.