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Finding the Fourth Proportional to 6,580, 9,874.86 and 3,117.26

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Solution

The fourth proportional to 6,580, 9,874.86 and 3,117.26 is: 4,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580 : 9,874.86 = 3,117.26 : x
  2. Step 2: Convert to fraction form
    6,580/9,874.86 = 3,117.26/x
  3. Step 3: Cross multiply
    6,580x = 9,874.86 × 3,117.26
  4. Step 4: Simplify right side
    6,580x = 30,782,506.08
  5. Step 5: Solve for x
    x = 30,782,506.08/6,580
  6. Step 6: Final answer
    x = 4,678.19

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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.