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Finding the Fourth Proportional to 10,405, 14,359.16 and 6,316.85

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Solution

The fourth proportional to 10,405, 14,359.16 and 6,316.85 is: 8,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405 : 14,359.16 = 6,316.85 : x
  2. Step 2: Convert to fraction form
    10,405/14,359.16 = 6,316.85/x
  3. Step 3: Cross multiply
    10,405x = 14,359.16 × 6,316.85
  4. Step 4: Simplify right side
    10,405x = 90,704,659.85
  5. Step 5: Solve for x
    x = 90,704,659.85/10,405
  6. Step 6: Final answer
    x = 8,717.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.