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Finding the Fourth Proportional to 10,510.74, 15,776.37 and 8,195.94

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Solution

The fourth proportional to 10,510.74, 15,776.37 and 8,195.94 is: 12,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.74 : 15,776.37 = 8,195.94 : x
  2. Step 2: Convert to fraction form
    10,510.74/15,776.37 = 8,195.94/x
  3. Step 3: Cross multiply
    10,510.74x = 15,776.37 × 8,195.94
  4. Step 4: Simplify right side
    10,510.74x = 129,302,181.94
  5. Step 5: Solve for x
    x = 129,302,181.94/10,510.74
  6. Step 6: Final answer
    x = 12,301.91

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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.