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Finding the Fourth Proportional to 6,991.76, 9,645 and 5,666.96

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Solution

The fourth proportional to 6,991.76, 9,645 and 5,666.96 is: 7,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.76 : 9,645 = 5,666.96 : x
  2. Step 2: Convert to fraction form
    6,991.76/9,645 = 5,666.96/x
  3. Step 3: Cross multiply
    6,991.76x = 9,645 × 5,666.96
  4. Step 4: Simplify right side
    6,991.76x = 54,657,829.20
  5. Step 5: Solve for x
    x = 54,657,829.20/6,991.76
  6. Step 6: Final answer
    x = 7,817.46

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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.