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Finding the Fourth Proportional to 6,509, 9,708.64 and 5,456.80

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Solution

The fourth proportional to 6,509, 9,708.64 and 5,456.80 is: 8,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509 : 9,708.64 = 5,456.80 : x
  2. Step 2: Convert to fraction form
    6,509/9,708.64 = 5,456.80/x
  3. Step 3: Cross multiply
    6,509x = 9,708.64 × 5,456.80
  4. Step 4: Simplify right side
    6,509x = 52,978,106.75
  5. Step 5: Solve for x
    x = 52,978,106.75/6,509
  6. Step 6: Final answer
    x = 8,139.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.