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Finding the Fourth Proportional to 15,812.64, 21,820.32 and 8,737.92

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Solution

The fourth proportional to 15,812.64, 21,820.32 and 8,737.92 is: 12,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.64 : 21,820.32 = 8,737.92 : x
  2. Step 2: Convert to fraction form
    15,812.64/21,820.32 = 8,737.92/x
  3. Step 3: Cross multiply
    15,812.64x = 21,820.32 × 8,737.92
  4. Step 4: Simplify right side
    15,812.64x = 190,664,210.53
  5. Step 5: Solve for x
    x = 190,664,210.53/15,812.64
  6. Step 6: Final answer
    x = 12,057.71

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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.