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Finding the Fourth Proportional to 14,340.60, 21,509.28 and 3,951

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Solution

The fourth proportional to 14,340.60, 21,509.28 and 3,951 is: 5,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.60 : 21,509.28 = 3,951 : x
  2. Step 2: Convert to fraction form
    14,340.60/21,509.28 = 3,951/x
  3. Step 3: Cross multiply
    14,340.60x = 21,509.28 × 3,951
  4. Step 4: Simplify right side
    14,340.60x = 84,983,165.28
  5. Step 5: Solve for x
    x = 84,983,165.28/14,340.60
  6. Step 6: Final answer
    x = 5,926.05

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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.