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Finding the Fourth Proportional to 21,082.83, 31,629.05 and 7,230.99

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Solution

The fourth proportional to 21,082.83, 31,629.05 and 7,230.99 is: 10,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.83 : 31,629.05 = 7,230.99 : x
  2. Step 2: Convert to fraction form
    21,082.83/31,629.05 = 7,230.99/x
  3. Step 3: Cross multiply
    21,082.83x = 31,629.05 × 7,230.99
  4. Step 4: Simplify right side
    21,082.83x = 228,709,308.10
  5. Step 5: Solve for x
    x = 228,709,308.10/21,082.83
  6. Step 6: Final answer
    x = 10,848.13

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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.