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Finding the Fourth Proportional to 6,513, 9,714.60 and 5,460.80

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Solution

The fourth proportional to 6,513, 9,714.60 and 5,460.80 is: 8,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513 : 9,714.60 = 5,460.80 : x
  2. Step 2: Convert to fraction form
    6,513/9,714.60 = 5,460.80/x
  3. Step 3: Cross multiply
    6,513x = 9,714.60 × 5,460.80
  4. Step 4: Simplify right side
    6,513x = 53,049,487.68
  5. Step 5: Solve for x
    x = 53,049,487.68/6,513
  6. Step 6: Final answer
    x = 8,145.17

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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.