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Finding the Fourth Proportional to 6,458.56, 9,689.28 and 2,076.16

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Solution

The fourth proportional to 6,458.56, 9,689.28 and 2,076.16 is: 3,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.56 : 9,689.28 = 2,076.16 : x
  2. Step 2: Convert to fraction form
    6,458.56/9,689.28 = 2,076.16/x
  3. Step 3: Cross multiply
    6,458.56x = 9,689.28 × 2,076.16
  4. Step 4: Simplify right side
    6,458.56x = 20,116,495.56
  5. Step 5: Solve for x
    x = 20,116,495.56/6,458.56
  6. Step 6: Final answer
    x = 3,114.70

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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.