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Finding the Fourth Proportional to 13,915, 19,202.70 and 7,627.40

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Solution

The fourth proportional to 13,915, 19,202.70 and 7,627.40 is: 10,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915 : 19,202.70 = 7,627.40 : x
  2. Step 2: Convert to fraction form
    13,915/19,202.70 = 7,627.40/x
  3. Step 3: Cross multiply
    13,915x = 19,202.70 × 7,627.40
  4. Step 4: Simplify right side
    13,915x = 146,466,673.98
  5. Step 5: Solve for x
    x = 146,466,673.98/13,915
  6. Step 6: Final answer
    x = 10,525.81

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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.