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Finding the Fourth Proportional to 33,985.60, 50,978.40 and 9,025.60

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Solution

The fourth proportional to 33,985.60, 50,978.40 and 9,025.60 is: 13,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985.60 : 50,978.40 = 9,025.60 : x
  2. Step 2: Convert to fraction form
    33,985.60/50,978.40 = 9,025.60/x
  3. Step 3: Cross multiply
    33,985.60x = 50,978.40 × 9,025.60
  4. Step 4: Simplify right side
    33,985.60x = 460,110,647.04
  5. Step 5: Solve for x
    x = 460,110,647.04/33,985.60
  6. Step 6: Final answer
    x = 13,538.40

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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.