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Finding the Fourth Proportional to 10,321.71, 14,236.71 and 6,345.02

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Solution

The fourth proportional to 10,321.71, 14,236.71 and 6,345.02 is: 8,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.71 : 14,236.71 = 6,345.02 : x
  2. Step 2: Convert to fraction form
    10,321.71/14,236.71 = 6,345.02/x
  3. Step 3: Cross multiply
    10,321.71x = 14,236.71 × 6,345.02
  4. Step 4: Simplify right side
    10,321.71x = 90,332,138.50
  5. Step 5: Solve for x
    x = 90,332,138.50/10,321.71
  6. Step 6: Final answer
    x = 8,751.66

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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.