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Finding the Fourth Proportional to 12,643.94, 18,955.62 and 4,742.02

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Solution

The fourth proportional to 12,643.94, 18,955.62 and 4,742.02 is: 7,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.94 : 18,955.62 = 4,742.02 : x
  2. Step 2: Convert to fraction form
    12,643.94/18,955.62 = 4,742.02/x
  3. Step 3: Cross multiply
    12,643.94x = 18,955.62 × 4,742.02
  4. Step 4: Simplify right side
    12,643.94x = 89,887,952.85
  5. Step 5: Solve for x
    x = 89,887,952.85/12,643.94
  6. Step 6: Final answer
    x = 7,109.17

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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.