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Finding the Fourth Proportional to 9,478, 14,208.90 and 5,314.60

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Solution

The fourth proportional to 9,478, 14,208.90 and 5,314.60 is: 7,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478 : 14,208.90 = 5,314.60 : x
  2. Step 2: Convert to fraction form
    9,478/14,208.90 = 5,314.60/x
  3. Step 3: Cross multiply
    9,478x = 14,208.90 × 5,314.60
  4. Step 4: Simplify right side
    9,478x = 75,514,619.94
  5. Step 5: Solve for x
    x = 75,514,619.94/9,478
  6. Step 6: Final answer
    x = 7,967.36

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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.