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Finding the Fourth Proportional to 49,643, 74,464.50 and 12,707

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Solution

The fourth proportional to 49,643, 74,464.50 and 12,707 is: 19,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,643 : 74,464.50 = 12,707 : x
  2. Step 2: Convert to fraction form
    49,643/74,464.50 = 12,707/x
  3. Step 3: Cross multiply
    49,643x = 74,464.50 × 12,707
  4. Step 4: Simplify right side
    49,643x = 946,220,401.50
  5. Step 5: Solve for x
    x = 946,220,401.50/49,643
  6. Step 6: Final answer
    x = 19,060.50

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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.