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Finding the Fourth Proportional to 10,434.78, 14,407.26 and 7,285.50

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Solution

The fourth proportional to 10,434.78, 14,407.26 and 7,285.50 is: 10,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.78 : 14,407.26 = 7,285.50 : x
  2. Step 2: Convert to fraction form
    10,434.78/14,407.26 = 7,285.50/x
  3. Step 3: Cross multiply
    10,434.78x = 14,407.26 × 7,285.50
  4. Step 4: Simplify right side
    10,434.78x = 104,964,092.73
  5. Step 5: Solve for x
    x = 104,964,092.73/10,434.78
  6. Step 6: Final answer
    x = 10,059.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.