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Finding the Fourth Proportional to 10,549.91, 15,817.06 and 6,388.94

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Solution

The fourth proportional to 10,549.91, 15,817.06 and 6,388.94 is: 9,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.91 : 15,817.06 = 6,388.94 : x
  2. Step 2: Convert to fraction form
    10,549.91/15,817.06 = 6,388.94/x
  3. Step 3: Cross multiply
    10,549.91x = 15,817.06 × 6,388.94
  4. Step 4: Simplify right side
    10,549.91x = 101,054,247.32
  5. Step 5: Solve for x
    x = 101,054,247.32/10,549.91
  6. Step 6: Final answer
    x = 9,578.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.