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Finding the Fourth Proportional to 13,575.75, 18,734.22 and 7,607.40

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Solution

The fourth proportional to 13,575.75, 18,734.22 and 7,607.40 is: 10,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.75 : 18,734.22 = 7,607.40 : x
  2. Step 2: Convert to fraction form
    13,575.75/18,734.22 = 7,607.40/x
  3. Step 3: Cross multiply
    13,575.75x = 18,734.22 × 7,607.40
  4. Step 4: Simplify right side
    13,575.75x = 142,518,705.23
  5. Step 5: Solve for x
    x = 142,518,705.23/13,575.75
  6. Step 6: Final answer
    x = 10,498.04

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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.