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Finding the Fourth Proportional to 10,555.86, 14,564.90 and 6,078.42

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Solution

The fourth proportional to 10,555.86, 14,564.90 and 6,078.42 is: 8,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.86 : 14,564.90 = 6,078.42 : x
  2. Step 2: Convert to fraction form
    10,555.86/14,564.90 = 6,078.42/x
  3. Step 3: Cross multiply
    10,555.86x = 14,564.90 × 6,078.42
  4. Step 4: Simplify right side
    10,555.86x = 88,531,579.46
  5. Step 5: Solve for x
    x = 88,531,579.46/10,555.86
  6. Step 6: Final answer
    x = 8,386.96

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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.