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Finding the Fourth Proportional to 9,684.48, 14,514 and 4,478.88

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Solution

The fourth proportional to 9,684.48, 14,514 and 4,478.88 is: 6,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.48 : 14,514 = 4,478.88 : x
  2. Step 2: Convert to fraction form
    9,684.48/14,514 = 4,478.88/x
  3. Step 3: Cross multiply
    9,684.48x = 14,514 × 4,478.88
  4. Step 4: Simplify right side
    9,684.48x = 65,006,464.32
  5. Step 5: Solve for x
    x = 65,006,464.32/9,684.48
  6. Step 6: Final answer
    x = 6,712.44

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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.