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Finding the Fourth Proportional to 49,722.88, 74,584.32 and 12,784

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Solution

The fourth proportional to 49,722.88, 74,584.32 and 12,784 is: 19,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,722.88 : 74,584.32 = 12,784 : x
  2. Step 2: Convert to fraction form
    49,722.88/74,584.32 = 12,784/x
  3. Step 3: Cross multiply
    49,722.88x = 74,584.32 × 12,784
  4. Step 4: Simplify right side
    49,722.88x = 953,485,946.88
  5. Step 5: Solve for x
    x = 953,485,946.88/49,722.88
  6. Step 6: Final answer
    x = 19,176.00

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Why These Related Problems?

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