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Finding the Fourth Proportional to 35,978.09, 53,934.46 and 12,591.77

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Solution

The fourth proportional to 35,978.09, 53,934.46 and 12,591.77 is: 18,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.09 : 53,934.46 = 12,591.77 : x
  2. Step 2: Convert to fraction form
    35,978.09/53,934.46 = 12,591.77/x
  3. Step 3: Cross multiply
    35,978.09x = 53,934.46 × 12,591.77
  4. Step 4: Simplify right side
    35,978.09x = 679,130,014.24
  5. Step 5: Solve for x
    x = 679,130,014.24/35,978.09
  6. Step 6: Final answer
    x = 18,876.21

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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.