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Finding the Fourth Proportional to 14,582.72, 21,878.88 and 5,812.80

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Solution

The fourth proportional to 14,582.72, 21,878.88 and 5,812.80 is: 8,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.72 : 21,878.88 = 5,812.80 : x
  2. Step 2: Convert to fraction form
    14,582.72/21,878.88 = 5,812.80/x
  3. Step 3: Cross multiply
    14,582.72x = 21,878.88 × 5,812.80
  4. Step 4: Simplify right side
    14,582.72x = 127,177,553.66
  5. Step 5: Solve for x
    x = 127,177,553.66/14,582.72
  6. Step 6: Final answer
    x = 8,721.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.