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Finding the Fourth Proportional to 7,891.76, 10,890.36 and 4,354.64

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Solution

The fourth proportional to 7,891.76, 10,890.36 and 4,354.64 is: 6,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.76 : 10,890.36 = 4,354.64 : x
  2. Step 2: Convert to fraction form
    7,891.76/10,890.36 = 4,354.64/x
  3. Step 3: Cross multiply
    7,891.76x = 10,890.36 × 4,354.64
  4. Step 4: Simplify right side
    7,891.76x = 47,423,597.27
  5. Step 5: Solve for x
    x = 47,423,597.27/7,891.76
  6. Step 6: Final answer
    x = 6,009.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.