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Finding the Fourth Proportional to 19,641.68, 29,440.52 and 7,784.48

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Solution

The fourth proportional to 19,641.68, 29,440.52 and 7,784.48 is: 11,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.68 : 29,440.52 = 7,784.48 : x
  2. Step 2: Convert to fraction form
    19,641.68/29,440.52 = 7,784.48/x
  3. Step 3: Cross multiply
    19,641.68x = 29,440.52 × 7,784.48
  4. Step 4: Simplify right side
    19,641.68x = 229,179,139.13
  5. Step 5: Solve for x
    x = 229,179,139.13/19,641.68
  6. Step 6: Final answer
    x = 11,668.00

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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.