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Finding the Fourth Proportional to 19,802.31, 29,629.64 and 19,580.87

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Solution

The fourth proportional to 19,802.31, 29,629.64 and 19,580.87 is: 29,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.31 : 29,629.64 = 19,580.87 : x
  2. Step 2: Convert to fraction form
    19,802.31/29,629.64 = 19,580.87/x
  3. Step 3: Cross multiply
    19,802.31x = 29,629.64 × 19,580.87
  4. Step 4: Simplify right side
    19,802.31x = 580,174,029.79
  5. Step 5: Solve for x
    x = 580,174,029.79/19,802.31
  6. Step 6: Final answer
    x = 29,298.30

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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.