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Finding the Fourth Proportional to 12,710.54, 19,082.61 and 10,213.31

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Solution

The fourth proportional to 12,710.54, 19,082.61 and 10,213.31 is: 15,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.54 : 19,082.61 = 10,213.31 : x
  2. Step 2: Convert to fraction form
    12,710.54/19,082.61 = 10,213.31/x
  3. Step 3: Cross multiply
    12,710.54x = 19,082.61 × 10,213.31
  4. Step 4: Simplify right side
    12,710.54x = 194,896,516.13
  5. Step 5: Solve for x
    x = 194,896,516.13/12,710.54
  6. Step 6: Final answer
    x = 15,333.46

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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.