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Finding the Fourth Proportional to 7,889.90, 11,877.58 and 7,200.98

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Solution

The fourth proportional to 7,889.90, 11,877.58 and 7,200.98 is: 10,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.90 : 11,877.58 = 7,200.98 : x
  2. Step 2: Convert to fraction form
    7,889.90/11,877.58 = 7,200.98/x
  3. Step 3: Cross multiply
    7,889.90x = 11,877.58 × 7,200.98
  4. Step 4: Simplify right side
    7,889.90x = 85,530,216.03
  5. Step 5: Solve for x
    x = 85,530,216.03/7,889.90
  6. Step 6: Final answer
    x = 10,840.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.