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Finding the Fourth Proportional to 49,471, 74,210.82 and 12,535

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Solution

The fourth proportional to 49,471, 74,210.82 and 12,535 is: 18,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,471 : 74,210.82 = 12,535 : x
  2. Step 2: Convert to fraction form
    49,471/74,210.82 = 12,535/x
  3. Step 3: Cross multiply
    49,471x = 74,210.82 × 12,535
  4. Step 4: Simplify right side
    49,471x = 930,232,628.70
  5. Step 5: Solve for x
    x = 930,232,628.70/49,471
  6. Step 6: Final answer
    x = 18,803.59

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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.