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Finding the Fourth Proportional to 10,578.78, 14,598.72 and 5,862.96

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Solution

The fourth proportional to 10,578.78, 14,598.72 and 5,862.96 is: 8,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.78 : 14,598.72 = 5,862.96 : x
  2. Step 2: Convert to fraction form
    10,578.78/14,598.72 = 5,862.96/x
  3. Step 3: Cross multiply
    10,578.78x = 14,598.72 × 5,862.96
  4. Step 4: Simplify right side
    10,578.78x = 85,591,711.41
  5. Step 5: Solve for x
    x = 85,591,711.41/10,578.78
  6. Step 6: Final answer
    x = 8,090.89

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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.