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Finding the Fourth Proportional to 56,428.44, 84,656.70 and 16,984.68

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Solution

The fourth proportional to 56,428.44, 84,656.70 and 16,984.68 is: 25,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,428.44 : 84,656.70 = 16,984.68 : x
  2. Step 2: Convert to fraction form
    56,428.44/84,656.70 = 16,984.68/x
  3. Step 3: Cross multiply
    56,428.44x = 84,656.70 × 16,984.68
  4. Step 4: Simplify right side
    56,428.44x = 1,437,866,959.36
  5. Step 5: Solve for x
    x = 1,437,866,959.36/56,428.44
  6. Step 6: Final answer
    x = 25,481.25

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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.