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Finding the Fourth Proportional to 13,612.95, 18,784.53 and 7,643.25

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Solution

The fourth proportional to 13,612.95, 18,784.53 and 7,643.25 is: 10,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.95 : 18,784.53 = 7,643.25 : x
  2. Step 2: Convert to fraction form
    13,612.95/18,784.53 = 7,643.25/x
  3. Step 3: Cross multiply
    13,612.95x = 18,784.53 × 7,643.25
  4. Step 4: Simplify right side
    13,612.95x = 143,574,858.92
  5. Step 5: Solve for x
    x = 143,574,858.92/13,612.95
  6. Step 6: Final answer
    x = 10,546.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.