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Finding the Fourth Proportional to 7,136, 9,843.96 and 4,778.72

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Solution

The fourth proportional to 7,136, 9,843.96 and 4,778.72 is: 6,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136 : 9,843.96 = 4,778.72 : x
  2. Step 2: Convert to fraction form
    7,136/9,843.96 = 4,778.72/x
  3. Step 3: Cross multiply
    7,136x = 9,843.96 × 4,778.72
  4. Step 4: Simplify right side
    7,136x = 47,041,528.53
  5. Step 5: Solve for x
    x = 47,041,528.53/7,136
  6. Step 6: Final answer
    x = 6,592.14

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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.