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Finding the Fourth Proportional to 7,802.58, 11,700.40 and 2,254.64

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Solution

The fourth proportional to 7,802.58, 11,700.40 and 2,254.64 is: 3,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.58 : 11,700.40 = 2,254.64 : x
  2. Step 2: Convert to fraction form
    7,802.58/11,700.40 = 2,254.64/x
  3. Step 3: Cross multiply
    7,802.58x = 11,700.40 × 2,254.64
  4. Step 4: Simplify right side
    7,802.58x = 26,380,129.94
  5. Step 5: Solve for x
    x = 26,380,129.94/7,802.58
  6. Step 6: Final answer
    x = 3,380.95

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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.