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Finding the Fourth Proportional to 10,456.78, 14,431.50 and 5,980.94

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Solution

The fourth proportional to 10,456.78, 14,431.50 and 5,980.94 is: 8,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.78 : 14,431.50 = 5,980.94 : x
  2. Step 2: Convert to fraction form
    10,456.78/14,431.50 = 5,980.94/x
  3. Step 3: Cross multiply
    10,456.78x = 14,431.50 × 5,980.94
  4. Step 4: Simplify right side
    10,456.78x = 86,313,935.61
  5. Step 5: Solve for x
    x = 86,313,935.61/10,456.78
  6. Step 6: Final answer
    x = 8,254.35

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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.