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Finding the Fourth Proportional to 35,981.32, 53,978.22 and 11,020.78

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Solution

The fourth proportional to 35,981.32, 53,978.22 and 11,020.78 is: 16,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981.32 : 53,978.22 = 11,020.78 : x
  2. Step 2: Convert to fraction form
    35,981.32/53,978.22 = 11,020.78/x
  3. Step 3: Cross multiply
    35,981.32x = 53,978.22 × 11,020.78
  4. Step 4: Simplify right side
    35,981.32x = 594,882,087.41
  5. Step 5: Solve for x
    x = 594,882,087.41/35,981.32
  6. Step 6: Final answer
    x = 16,533.08

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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.