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Finding the Fourth Proportional to 14,123.48, 19,490.34 and 7,835.84

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Solution

The fourth proportional to 14,123.48, 19,490.34 and 7,835.84 is: 10,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.48 : 19,490.34 = 7,835.84 : x
  2. Step 2: Convert to fraction form
    14,123.48/19,490.34 = 7,835.84/x
  3. Step 3: Cross multiply
    14,123.48x = 19,490.34 × 7,835.84
  4. Step 4: Simplify right side
    14,123.48x = 152,723,185.79
  5. Step 5: Solve for x
    x = 152,723,185.79/14,123.48
  6. Step 6: Final answer
    x = 10,813.42

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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.