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Finding the Fourth Proportional to 39,485, 59,237.76 and 11,783

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Solution

The fourth proportional to 39,485, 59,237.76 and 11,783 is: 17,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,485 : 59,237.76 = 11,783 : x
  2. Step 2: Convert to fraction form
    39,485/59,237.76 = 11,783/x
  3. Step 3: Cross multiply
    39,485x = 59,237.76 × 11,783
  4. Step 4: Simplify right side
    39,485x = 697,998,526.08
  5. Step 5: Solve for x
    x = 697,998,526.08/39,485
  6. Step 6: Final answer
    x = 17,677.56

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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.