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Finding the Fourth Proportional to 14,156.67, 19,535.67 and 7,869.45

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Solution

The fourth proportional to 14,156.67, 19,535.67 and 7,869.45 is: 10,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.67 : 19,535.67 = 7,869.45 : x
  2. Step 2: Convert to fraction form
    14,156.67/19,535.67 = 7,869.45/x
  3. Step 3: Cross multiply
    14,156.67x = 19,535.67 × 7,869.45
  4. Step 4: Simplify right side
    14,156.67x = 153,734,978.28
  5. Step 5: Solve for x
    x = 153,734,978.28/14,156.67
  6. Step 6: Final answer
    x = 10,859.54

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