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Finding the Fourth Proportional to 10,313.12, 15,469.68 and 2,916.98

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Solution

The fourth proportional to 10,313.12, 15,469.68 and 2,916.98 is: 4,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.12 : 15,469.68 = 2,916.98 : x
  2. Step 2: Convert to fraction form
    10,313.12/15,469.68 = 2,916.98/x
  3. Step 3: Cross multiply
    10,313.12x = 15,469.68 × 2,916.98
  4. Step 4: Simplify right side
    10,313.12x = 45,124,738.77
  5. Step 5: Solve for x
    x = 45,124,738.77/10,313.12
  6. Step 6: Final answer
    x = 4,375.47

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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.