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Finding the Fourth Proportional to 10,878, 16,234.82 and 9,828.24

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Solution

The fourth proportional to 10,878, 16,234.82 and 9,828.24 is: 14,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878 : 16,234.82 = 9,828.24 : x
  2. Step 2: Convert to fraction form
    10,878/16,234.82 = 9,828.24/x
  3. Step 3: Cross multiply
    10,878x = 16,234.82 × 9,828.24
  4. Step 4: Simplify right side
    10,878x = 159,559,658.18
  5. Step 5: Solve for x
    x = 159,559,658.18/10,878
  6. Step 6: Final answer
    x = 14,668.11

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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.