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Finding the Fourth Proportional to 7,970.96, 11,000.28 and 6,642.44

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Solution

The fourth proportional to 7,970.96, 11,000.28 and 6,642.44 is: 9,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.96 : 11,000.28 = 6,642.44 : x
  2. Step 2: Convert to fraction form
    7,970.96/11,000.28 = 6,642.44/x
  3. Step 3: Cross multiply
    7,970.96x = 11,000.28 × 6,642.44
  4. Step 4: Simplify right side
    7,970.96x = 73,068,699.88
  5. Step 5: Solve for x
    x = 73,068,699.88/7,970.96
  6. Step 6: Final answer
    x = 9,166.86

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1.5x scale

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.