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Finding the Fourth Proportional to 7,801.68, 11,744.90 and 6,998

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Solution

The fourth proportional to 7,801.68, 11,744.90 and 6,998 is: 10,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.68 : 11,744.90 = 6,998 : x
  2. Step 2: Convert to fraction form
    7,801.68/11,744.90 = 6,998/x
  3. Step 3: Cross multiply
    7,801.68x = 11,744.90 × 6,998
  4. Step 4: Simplify right side
    7,801.68x = 82,190,810.20
  5. Step 5: Solve for x
    x = 82,190,810.20/7,801.68
  6. Step 6: Final answer
    x = 10,535.01

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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.