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Finding the Fourth Proportional to 13,657.75, 18,848.06 and 7,689.64

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Solution

The fourth proportional to 13,657.75, 18,848.06 and 7,689.64 is: 10,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.75 : 18,848.06 = 7,689.64 : x
  2. Step 2: Convert to fraction form
    13,657.75/18,848.06 = 7,689.64/x
  3. Step 3: Cross multiply
    13,657.75x = 18,848.06 × 7,689.64
  4. Step 4: Simplify right side
    13,657.75x = 144,934,796.10
  5. Step 5: Solve for x
    x = 144,934,796.10/13,657.75
  6. Step 6: Final answer
    x = 10,611.91

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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.