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Finding the Fourth Proportional to 15,708.21, 21,657.11 and 12,865.11

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Solution

The fourth proportional to 15,708.21, 21,657.11 and 12,865.11 is: 17,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.21 : 21,657.11 = 12,865.11 : x
  2. Step 2: Convert to fraction form
    15,708.21/21,657.11 = 12,865.11/x
  3. Step 3: Cross multiply
    15,708.21x = 21,657.11 × 12,865.11
  4. Step 4: Simplify right side
    15,708.21x = 278,621,102.43
  5. Step 5: Solve for x
    x = 278,621,102.43/15,708.21
  6. Step 6: Final answer
    x = 17,737.29

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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.