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Finding the Fourth Proportional to 21,895.68, 32,830.32 and 9,230.32

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Solution

The fourth proportional to 21,895.68, 32,830.32 and 9,230.32 is: 13,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.68 : 32,830.32 = 9,230.32 : x
  2. Step 2: Convert to fraction form
    21,895.68/32,830.32 = 9,230.32/x
  3. Step 3: Cross multiply
    21,895.68x = 32,830.32 × 9,230.32
  4. Step 4: Simplify right side
    21,895.68x = 303,034,359.30
  5. Step 5: Solve for x
    x = 303,034,359.30/21,895.68
  6. Step 6: Final answer
    x = 13,839.92

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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.