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Finding the Fourth Proportional to 10,302, 14,219.22 and 6,112.68

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Solution

The fourth proportional to 10,302, 14,219.22 and 6,112.68 is: 8,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302 : 14,219.22 = 6,112.68 : x
  2. Step 2: Convert to fraction form
    10,302/14,219.22 = 6,112.68/x
  3. Step 3: Cross multiply
    10,302x = 14,219.22 × 6,112.68
  4. Step 4: Simplify right side
    10,302x = 86,917,541.71
  5. Step 5: Solve for x
    x = 86,917,541.71/10,302
  6. Step 6: Final answer
    x = 8,436.96

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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.