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Finding the Fourth Proportional to 7,148.64, 10,714.32 and 3,036

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Solution

The fourth proportional to 7,148.64, 10,714.32 and 3,036 is: 4,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.64 : 10,714.32 = 3,036 : x
  2. Step 2: Convert to fraction form
    7,148.64/10,714.32 = 3,036/x
  3. Step 3: Cross multiply
    7,148.64x = 10,714.32 × 3,036
  4. Step 4: Simplify right side
    7,148.64x = 32,528,675.52
  5. Step 5: Solve for x
    x = 32,528,675.52/7,148.64
  6. Step 6: Final answer
    x = 4,550.33

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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.