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Finding the Fourth Proportional to 9,114, 13,670.76 and 2,539.92

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Solution

The fourth proportional to 9,114, 13,670.76 and 2,539.92 is: 3,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114 : 13,670.76 = 2,539.92 : x
  2. Step 2: Convert to fraction form
    9,114/13,670.76 = 2,539.92/x
  3. Step 3: Cross multiply
    9,114x = 13,670.76 × 2,539.92
  4. Step 4: Simplify right side
    9,114x = 34,722,636.74
  5. Step 5: Solve for x
    x = 34,722,636.74/9,114
  6. Step 6: Final answer
    x = 3,809.81

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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.