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Finding the Fourth Proportional to 29,425.44, 40,616 and 19,999.47

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Solution

The fourth proportional to 29,425.44, 40,616 and 19,999.47 is: 27,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.44 : 40,616 = 19,999.47 : x
  2. Step 2: Convert to fraction form
    29,425.44/40,616 = 19,999.47/x
  3. Step 3: Cross multiply
    29,425.44x = 40,616 × 19,999.47
  4. Step 4: Simplify right side
    29,425.44x = 812,298,473.52
  5. Step 5: Solve for x
    x = 812,298,473.52/29,425.44
  6. Step 6: Final answer
    x = 27,605.31

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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.