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Finding the Fourth Proportional to 6,379.47, 9,569.69 and 1,699.46

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Solution

The fourth proportional to 6,379.47, 9,569.69 and 1,699.46 is: 2,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.47 : 9,569.69 = 1,699.46 : x
  2. Step 2: Convert to fraction form
    6,379.47/9,569.69 = 1,699.46/x
  3. Step 3: Cross multiply
    6,379.47x = 9,569.69 × 1,699.46
  4. Step 4: Simplify right side
    6,379.47x = 16,263,296.87
  5. Step 5: Solve for x
    x = 16,263,296.87/6,379.47
  6. Step 6: Final answer
    x = 2,549.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.