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Finding the Fourth Proportional to 7,838.55, 10,817.01 and 4,389.09

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Solution

The fourth proportional to 7,838.55, 10,817.01 and 4,389.09 is: 6,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.55 : 10,817.01 = 4,389.09 : x
  2. Step 2: Convert to fraction form
    7,838.55/10,817.01 = 4,389.09/x
  3. Step 3: Cross multiply
    7,838.55x = 10,817.01 × 4,389.09
  4. Step 4: Simplify right side
    7,838.55x = 47,476,830.42
  5. Step 5: Solve for x
    x = 47,476,830.42/7,838.55
  6. Step 6: Final answer
    x = 6,056.84

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1.5x scale

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.