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Finding the Fourth Proportional to 13,486.31, 18,612.91 and 7,746.03

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Solution

The fourth proportional to 13,486.31, 18,612.91 and 7,746.03 is: 10,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.31 : 18,612.91 = 7,746.03 : x
  2. Step 2: Convert to fraction form
    13,486.31/18,612.91 = 7,746.03/x
  3. Step 3: Cross multiply
    13,486.31x = 18,612.91 × 7,746.03
  4. Step 4: Simplify right side
    13,486.31x = 144,176,112.19
  5. Step 5: Solve for x
    x = 144,176,112.19/13,486.31
  6. Step 6: Final answer
    x = 10,690.55

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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.