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Finding the Fourth Proportional to 9,784, 14,655.48 and 7,694.20

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Solution

The fourth proportional to 9,784, 14,655.48 and 7,694.20 is: 11,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784 : 14,655.48 = 7,694.20 : x
  2. Step 2: Convert to fraction form
    9,784/14,655.48 = 7,694.20/x
  3. Step 3: Cross multiply
    9,784x = 14,655.48 × 7,694.20
  4. Step 4: Simplify right side
    9,784x = 112,762,194.22
  5. Step 5: Solve for x
    x = 112,762,194.22/9,784
  6. Step 6: Final answer
    x = 11,525.16

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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.