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Finding the Fourth Proportional to 19,365.76, 29,042.28 and 6,215

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Solution

The fourth proportional to 19,365.76, 29,042.28 and 6,215 is: 9,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,365.76 : 29,042.28 = 6,215 : x
  2. Step 2: Convert to fraction form
    19,365.76/29,042.28 = 6,215/x
  3. Step 3: Cross multiply
    19,365.76x = 29,042.28 × 6,215
  4. Step 4: Simplify right side
    19,365.76x = 180,497,770.20
  5. Step 5: Solve for x
    x = 180,497,770.20/19,365.76
  6. Step 6: Final answer
    x = 9,320.46

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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.