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Finding the Fourth Proportional to 10,294.20, 14,206 and 5,578.46

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Solution

The fourth proportional to 10,294.20, 14,206 and 5,578.46 is: 7,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.20 : 14,206 = 5,578.46 : x
  2. Step 2: Convert to fraction form
    10,294.20/14,206 = 5,578.46/x
  3. Step 3: Cross multiply
    10,294.20x = 14,206 × 5,578.46
  4. Step 4: Simplify right side
    10,294.20x = 79,247,602.76
  5. Step 5: Solve for x
    x = 79,247,602.76/10,294.20
  6. Step 6: Final answer
    x = 7,698.28

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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.