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Finding the Fourth Proportional to 9,682.48, 14,523.72 and 7,962.40

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Solution

The fourth proportional to 9,682.48, 14,523.72 and 7,962.40 is: 11,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.48 : 14,523.72 = 7,962.40 : x
  2. Step 2: Convert to fraction form
    9,682.48/14,523.72 = 7,962.40/x
  3. Step 3: Cross multiply
    9,682.48x = 14,523.72 × 7,962.40
  4. Step 4: Simplify right side
    9,682.48x = 115,643,668.13
  5. Step 5: Solve for x
    x = 115,643,668.13/9,682.48
  6. Step 6: Final answer
    x = 11,943.60

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Similar ratio
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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.