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Finding the Fourth Proportional to 19,628, 29,434.80 and 6,476.48

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Solution

The fourth proportional to 19,628, 29,434.80 and 6,476.48 is: 9,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,628 : 29,434.80 = 6,476.48 : x
  2. Step 2: Convert to fraction form
    19,628/29,434.80 = 6,476.48/x
  3. Step 3: Cross multiply
    19,628x = 29,434.80 × 6,476.48
  4. Step 4: Simplify right side
    19,628x = 190,633,893.50
  5. Step 5: Solve for x
    x = 190,633,893.50/19,628
  6. Step 6: Final answer
    x = 9,712.34

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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.