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Finding the Fourth Proportional to 47,967.72, 66,203.64 and 27,830.88

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Solution

The fourth proportional to 47,967.72, 66,203.64 and 27,830.88 is: 38,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,967.72 : 66,203.64 = 27,830.88 : x
  2. Step 2: Convert to fraction form
    47,967.72/66,203.64 = 27,830.88/x
  3. Step 3: Cross multiply
    47,967.72x = 66,203.64 × 27,830.88
  4. Step 4: Simplify right side
    47,967.72x = 1,842,505,560.40
  5. Step 5: Solve for x
    x = 1,842,505,560.40/47,967.72
  6. Step 6: Final answer
    x = 38,411.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.