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Finding the Fourth Proportional to 9,778.96, 14,670.60 and 2,854

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Solution

The fourth proportional to 9,778.96, 14,670.60 and 2,854 is: 4,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.96 : 14,670.60 = 2,854 : x
  2. Step 2: Convert to fraction form
    9,778.96/14,670.60 = 2,854/x
  3. Step 3: Cross multiply
    9,778.96x = 14,670.60 × 2,854
  4. Step 4: Simplify right side
    9,778.96x = 41,869,892.40
  5. Step 5: Solve for x
    x = 41,869,892.40/9,778.96
  6. Step 6: Final answer
    x = 4,281.63

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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.