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Finding the Fourth Proportional to 19,963.93, 29,945.90 and 9,430.49

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Solution

The fourth proportional to 19,963.93, 29,945.90 and 9,430.49 is: 14,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,963.93 : 29,945.90 = 9,430.49 : x
  2. Step 2: Convert to fraction form
    19,963.93/29,945.90 = 9,430.49/x
  3. Step 3: Cross multiply
    19,963.93x = 29,945.90 × 9,430.49
  4. Step 4: Simplify right side
    19,963.93x = 282,404,510.49
  5. Step 5: Solve for x
    x = 282,404,510.49/19,963.93
  6. Step 6: Final answer
    x = 14,145.74

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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.