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Finding the Fourth Proportional to 21,863.98, 32,792.45 and 7,821.38

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Solution

The fourth proportional to 21,863.98, 32,792.45 and 7,821.38 is: 11,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863.98 : 32,792.45 = 7,821.38 : x
  2. Step 2: Convert to fraction form
    21,863.98/32,792.45 = 7,821.38/x
  3. Step 3: Cross multiply
    21,863.98x = 32,792.45 × 7,821.38
  4. Step 4: Simplify right side
    21,863.98x = 256,482,314.12
  5. Step 5: Solve for x
    x = 256,482,314.12/21,863.98
  6. Step 6: Final answer
    x = 11,730.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.