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Finding the Fourth Proportional to 14,155.75, 19,535.75 and 7,868.53

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Solution

The fourth proportional to 14,155.75, 19,535.75 and 7,868.53 is: 10,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.75 : 19,535.75 = 7,868.53 : x
  2. Step 2: Convert to fraction form
    14,155.75/19,535.75 = 7,868.53/x
  3. Step 3: Cross multiply
    14,155.75x = 19,535.75 × 7,868.53
  4. Step 4: Simplify right side
    14,155.75x = 153,717,634.95
  5. Step 5: Solve for x
    x = 153,717,634.95/14,155.75
  6. Step 6: Final answer
    x = 10,859.02

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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.