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Finding the Fourth Proportional to 39,978.76, 59,956.80 and 11,897.68

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Solution

The fourth proportional to 39,978.76, 59,956.80 and 11,897.68 is: 17,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,978.76 : 59,956.80 = 11,897.68 : x
  2. Step 2: Convert to fraction form
    39,978.76/59,956.80 = 11,897.68/x
  3. Step 3: Cross multiply
    39,978.76x = 59,956.80 × 11,897.68
  4. Step 4: Simplify right side
    39,978.76x = 713,346,820.22
  5. Step 5: Solve for x
    x = 713,346,820.22/39,978.76
  6. Step 6: Final answer
    x = 17,843.15

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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.