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Finding the Fourth Proportional to 14,287.50, 21,431.25 and 6,079.50

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Solution

The fourth proportional to 14,287.50, 21,431.25 and 6,079.50 is: 9,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.50 : 21,431.25 = 6,079.50 : x
  2. Step 2: Convert to fraction form
    14,287.50/21,431.25 = 6,079.50/x
  3. Step 3: Cross multiply
    14,287.50x = 21,431.25 × 6,079.50
  4. Step 4: Simplify right side
    14,287.50x = 130,291,284.38
  5. Step 5: Solve for x
    x = 130,291,284.38/14,287.50
  6. Step 6: Final answer
    x = 9,119.25

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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.