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Finding the Fourth Proportional to 19,913.18, 29,866.32 and 7,431.89

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Solution

The fourth proportional to 19,913.18, 29,866.32 and 7,431.89 is: 11,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.18 : 29,866.32 = 7,431.89 : x
  2. Step 2: Convert to fraction form
    19,913.18/29,866.32 = 7,431.89/x
  3. Step 3: Cross multiply
    19,913.18x = 29,866.32 × 7,431.89
  4. Step 4: Simplify right side
    19,913.18x = 221,963,055.61
  5. Step 5: Solve for x
    x = 221,963,055.61/19,913.18
  6. Step 6: Final answer
    x = 11,146.54

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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.