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Finding the Fourth Proportional to 15,662, 21,627.60 and 10,082.72

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Solution

The fourth proportional to 15,662, 21,627.60 and 10,082.72 is: 13,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662 : 21,627.60 = 10,082.72 : x
  2. Step 2: Convert to fraction form
    15,662/21,627.60 = 10,082.72/x
  3. Step 3: Cross multiply
    15,662x = 21,627.60 × 10,082.72
  4. Step 4: Simplify right side
    15,662x = 218,065,035.07
  5. Step 5: Solve for x
    x = 218,065,035.07/15,662
  6. Step 6: Final answer
    x = 13,923.19

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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.