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Finding the Fourth Proportional to 14,605.20, 21,907.80 and 5,846.40

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Solution

The fourth proportional to 14,605.20, 21,907.80 and 5,846.40 is: 8,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.20 : 21,907.80 = 5,846.40 : x
  2. Step 2: Convert to fraction form
    14,605.20/21,907.80 = 5,846.40/x
  3. Step 3: Cross multiply
    14,605.20x = 21,907.80 × 5,846.40
  4. Step 4: Simplify right side
    14,605.20x = 128,081,761.92
  5. Step 5: Solve for x
    x = 128,081,761.92/14,605.20
  6. Step 6: Final answer
    x = 8,769.60

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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.