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Finding the Fourth Proportional to 6,488, 9,714.72 and 5,321.60

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Solution

The fourth proportional to 6,488, 9,714.72 and 5,321.60 is: 7,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488 : 9,714.72 = 5,321.60 : x
  2. Step 2: Convert to fraction form
    6,488/9,714.72 = 5,321.60/x
  3. Step 3: Cross multiply
    6,488x = 9,714.72 × 5,321.60
  4. Step 4: Simplify right side
    6,488x = 51,697,853.95
  5. Step 5: Solve for x
    x = 51,697,853.95/6,488
  6. Step 6: Final answer
    x = 7,968.23

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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.