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Finding the Fourth Proportional to 7,862.81, 10,855.15 and 5,213.80

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Solution

The fourth proportional to 7,862.81, 10,855.15 and 5,213.80 is: 7,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.81 : 10,855.15 = 5,213.80 : x
  2. Step 2: Convert to fraction form
    7,862.81/10,855.15 = 5,213.80/x
  3. Step 3: Cross multiply
    7,862.81x = 10,855.15 × 5,213.80
  4. Step 4: Simplify right side
    7,862.81x = 56,596,526.79
  5. Step 5: Solve for x
    x = 56,596,526.79/7,862.81
  6. Step 6: Final answer
    x = 7,198.01

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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.