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Finding the Fourth Proportional to 14,643, 21,957.62 and 6,317.82

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Solution

The fourth proportional to 14,643, 21,957.62 and 6,317.82 is: 9,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643 : 21,957.62 = 6,317.82 : x
  2. Step 2: Convert to fraction form
    14,643/21,957.62 = 6,317.82/x
  3. Step 3: Cross multiply
    14,643x = 21,957.62 × 6,317.82
  4. Step 4: Simplify right side
    14,643x = 138,724,259.20
  5. Step 5: Solve for x
    x = 138,724,259.20/14,643
  6. Step 6: Final answer
    x = 9,473.76

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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.