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Finding the Fourth Proportional to 14,321.74, 21,477.44 and 4,959.20

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Solution

The fourth proportional to 14,321.74, 21,477.44 and 4,959.20 is: 7,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.74 : 21,477.44 = 4,959.20 : x
  2. Step 2: Convert to fraction form
    14,321.74/21,477.44 = 4,959.20/x
  3. Step 3: Cross multiply
    14,321.74x = 21,477.44 × 4,959.20
  4. Step 4: Simplify right side
    14,321.74x = 106,510,920.45
  5. Step 5: Solve for x
    x = 106,510,920.45/14,321.74
  6. Step 6: Final answer
    x = 7,437.01

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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.