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Finding the Fourth Proportional to 7,895.76, 11,842.68 and 2,701.20

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Solution

The fourth proportional to 7,895.76, 11,842.68 and 2,701.20 is: 4,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.76 : 11,842.68 = 2,701.20 : x
  2. Step 2: Convert to fraction form
    7,895.76/11,842.68 = 2,701.20/x
  3. Step 3: Cross multiply
    7,895.76x = 11,842.68 × 2,701.20
  4. Step 4: Simplify right side
    7,895.76x = 31,989,447.22
  5. Step 5: Solve for x
    x = 31,989,447.22/7,895.76
  6. Step 6: Final answer
    x = 4,051.47

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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.