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Finding the Fourth Proportional to 14,773.38, 20,386.47 and 8,485.77

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Solution

The fourth proportional to 14,773.38, 20,386.47 and 8,485.77 is: 11,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.38 : 20,386.47 = 8,485.77 : x
  2. Step 2: Convert to fraction form
    14,773.38/20,386.47 = 8,485.77/x
  3. Step 3: Cross multiply
    14,773.38x = 20,386.47 × 8,485.77
  4. Step 4: Simplify right side
    14,773.38x = 172,994,895.53
  5. Step 5: Solve for x
    x = 172,994,895.53/14,773.38
  6. Step 6: Final answer
    x = 11,709.91

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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.