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Finding the Fourth Proportional to 2,714.16, 4,068.64 and 864.26

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Solution

The fourth proportional to 2,714.16, 4,068.64 and 864.26 is: 1,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.16 : 4,068.64 = 864.26 : x
  2. Step 2: Convert to fraction form
    2,714.16/4,068.64 = 864.26/x
  3. Step 3: Cross multiply
    2,714.16x = 4,068.64 × 864.26
  4. Step 4: Simplify right side
    2,714.16x = 3,516,362.81
  5. Step 5: Solve for x
    x = 3,516,362.81/2,714.16
  6. Step 6: Final answer
    x = 1,295.56

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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.