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Finding the Fourth Proportional to 19,574.49, 29,364.72 and 6,423.75

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Solution

The fourth proportional to 19,574.49, 29,364.72 and 6,423.75 is: 9,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.49 : 29,364.72 = 6,423.75 : x
  2. Step 2: Convert to fraction form
    19,574.49/29,364.72 = 6,423.75/x
  3. Step 3: Cross multiply
    19,574.49x = 29,364.72 × 6,423.75
  4. Step 4: Simplify right side
    19,574.49x = 188,631,620.10
  5. Step 5: Solve for x
    x = 188,631,620.10/19,574.49
  6. Step 6: Final answer
    x = 9,636.60

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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.