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Finding the Fourth Proportional to 9,768.42, 14,658.09 and 3,929.13

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Solution

The fourth proportional to 9,768.42, 14,658.09 and 3,929.13 is: 5,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.42 : 14,658.09 = 3,929.13 : x
  2. Step 2: Convert to fraction form
    9,768.42/14,658.09 = 3,929.13/x
  3. Step 3: Cross multiply
    9,768.42x = 14,658.09 × 3,929.13
  4. Step 4: Simplify right side
    9,768.42x = 57,593,541.16
  5. Step 5: Solve for x
    x = 57,593,541.16/9,768.42
  6. Step 6: Final answer
    x = 5,895.89

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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.