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Finding the Fourth Proportional to 10,305.43, 14,220.63 and 5,828.15

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Solution

The fourth proportional to 10,305.43, 14,220.63 and 5,828.15 is: 8,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.43 : 14,220.63 = 5,828.15 : x
  2. Step 2: Convert to fraction form
    10,305.43/14,220.63 = 5,828.15/x
  3. Step 3: Cross multiply
    10,305.43x = 14,220.63 × 5,828.15
  4. Step 4: Simplify right side
    10,305.43x = 82,880,000.29
  5. Step 5: Solve for x
    x = 82,880,000.29/10,305.43
  6. Step 6: Final answer
    x = 8,042.36

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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.