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Finding the Fourth Proportional to 49,605, 74,407.50 and 12,669

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Solution

The fourth proportional to 49,605, 74,407.50 and 12,669 is: 19,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,605 : 74,407.50 = 12,669 : x
  2. Step 2: Convert to fraction form
    49,605/74,407.50 = 12,669/x
  3. Step 3: Cross multiply
    49,605x = 74,407.50 × 12,669
  4. Step 4: Simplify right side
    49,605x = 942,668,617.50
  5. Step 5: Solve for x
    x = 942,668,617.50/49,605
  6. Step 6: Final answer
    x = 19,003.50

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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.