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Finding the Fourth Proportional to 13,612.96, 18,787.41 and 7,646.53

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Solution

The fourth proportional to 13,612.96, 18,787.41 and 7,646.53 is: 10,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.96 : 18,787.41 = 7,646.53 : x
  2. Step 2: Convert to fraction form
    13,612.96/18,787.41 = 7,646.53/x
  3. Step 3: Cross multiply
    13,612.96x = 18,787.41 × 7,646.53
  4. Step 4: Simplify right side
    13,612.96x = 143,658,494.19
  5. Step 5: Solve for x
    x = 143,658,494.19/13,612.96
  6. Step 6: Final answer
    x = 10,553.07

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1.5x scale

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.