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Finding the Fourth Proportional to 8,384.28, 12,502.37 and 8,309.16

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Solution

The fourth proportional to 8,384.28, 12,502.37 and 8,309.16 is: 12,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.28 : 12,502.37 = 8,309.16 : x
  2. Step 2: Convert to fraction form
    8,384.28/12,502.37 = 8,309.16/x
  3. Step 3: Cross multiply
    8,384.28x = 12,502.37 × 8,309.16
  4. Step 4: Simplify right side
    8,384.28x = 103,884,151.16
  5. Step 5: Solve for x
    x = 103,884,151.16/8,384.28
  6. Step 6: Final answer
    x = 12,390.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.