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Finding the Fourth Proportional to 13,787.60, 20,649.08 and 10,080.48

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Solution

The fourth proportional to 13,787.60, 20,649.08 and 10,080.48 is: 15,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.60 : 20,649.08 = 10,080.48 : x
  2. Step 2: Convert to fraction form
    13,787.60/20,649.08 = 10,080.48/x
  3. Step 3: Cross multiply
    13,787.60x = 20,649.08 × 10,080.48
  4. Step 4: Simplify right side
    13,787.60x = 208,152,637.96
  5. Step 5: Solve for x
    x = 208,152,637.96/13,787.60
  6. Step 6: Final answer
    x = 15,097.09

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1.5x scale

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.