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Finding the Fourth Proportional to 21,878.32, 32,820.70 and 7,082.32

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Solution

The fourth proportional to 21,878.32, 32,820.70 and 7,082.32 is: 10,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.32 : 32,820.70 = 7,082.32 : x
  2. Step 2: Convert to fraction form
    21,878.32/32,820.70 = 7,082.32/x
  3. Step 3: Cross multiply
    21,878.32x = 32,820.70 × 7,082.32
  4. Step 4: Simplify right side
    21,878.32x = 232,446,700.02
  5. Step 5: Solve for x
    x = 232,446,700.02/21,878.32
  6. Step 6: Final answer
    x = 10,624.52

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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.