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Finding the Fourth Proportional to 9,642, 14,460.84 and 4,709.28

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Solution

The fourth proportional to 9,642, 14,460.84 and 4,709.28 is: 7,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642 : 14,460.84 = 4,709.28 : x
  2. Step 2: Convert to fraction form
    9,642/14,460.84 = 4,709.28/x
  3. Step 3: Cross multiply
    9,642x = 14,460.84 × 4,709.28
  4. Step 4: Simplify right side
    9,642x = 68,100,144.60
  5. Step 5: Solve for x
    x = 68,100,144.60/9,642
  6. Step 6: Final answer
    x = 7,062.87

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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.