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Finding the Fourth Proportional to 9,784, 14,678.16 and 3,628

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Solution

The fourth proportional to 9,784, 14,678.16 and 3,628 is: 5,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784 : 14,678.16 = 3,628 : x
  2. Step 2: Convert to fraction form
    9,784/14,678.16 = 3,628/x
  3. Step 3: Cross multiply
    9,784x = 14,678.16 × 3,628
  4. Step 4: Simplify right side
    9,784x = 53,252,364.48
  5. Step 5: Solve for x
    x = 53,252,364.48/9,784
  6. Step 6: Final answer
    x = 5,442.80

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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.