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Finding the Fourth Proportional to 7,136, 9,846.78 and 3,948.88

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Solution

The fourth proportional to 7,136, 9,846.78 and 3,948.88 is: 5,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136 : 9,846.78 = 3,948.88 : x
  2. Step 2: Convert to fraction form
    7,136/9,846.78 = 3,948.88/x
  3. Step 3: Cross multiply
    7,136x = 9,846.78 × 3,948.88
  4. Step 4: Simplify right side
    7,136x = 38,883,752.61
  5. Step 5: Solve for x
    x = 38,883,752.61/7,136
  6. Step 6: Final answer
    x = 5,448.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.