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Finding the Fourth Proportional to 17,985.86, 26,978.80 and 4,839.56

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Solution

The fourth proportional to 17,985.86, 26,978.80 and 4,839.56 is: 7,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.86 : 26,978.80 = 4,839.56 : x
  2. Step 2: Convert to fraction form
    17,985.86/26,978.80 = 4,839.56/x
  3. Step 3: Cross multiply
    17,985.86x = 26,978.80 × 4,839.56
  4. Step 4: Simplify right side
    17,985.86x = 130,565,521.33
  5. Step 5: Solve for x
    x = 130,565,521.33/17,985.86
  6. Step 6: Final answer
    x = 7,259.34

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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.