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Finding the Fourth Proportional to 6,998, 9,656.40 and 4,013.68

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Solution

The fourth proportional to 6,998, 9,656.40 and 4,013.68 is: 5,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 9,656.40 = 4,013.68 : x
  2. Step 2: Convert to fraction form
    6,998/9,656.40 = 4,013.68/x
  3. Step 3: Cross multiply
    6,998x = 9,656.40 × 4,013.68
  4. Step 4: Simplify right side
    6,998x = 38,757,699.55
  5. Step 5: Solve for x
    x = 38,757,699.55/6,998
  6. Step 6: Final answer
    x = 5,538.40

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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.