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Finding the Fourth Proportional to 7,866.10, 10,849.51 and 5,343.80

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Solution

The fourth proportional to 7,866.10, 10,849.51 and 5,343.80 is: 7,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.10 : 10,849.51 = 5,343.80 : x
  2. Step 2: Convert to fraction form
    7,866.10/10,849.51 = 5,343.80/x
  3. Step 3: Cross multiply
    7,866.10x = 10,849.51 × 5,343.80
  4. Step 4: Simplify right side
    7,866.10x = 57,977,611.54
  5. Step 5: Solve for x
    x = 57,977,611.54/7,866.10
  6. Step 6: Final answer
    x = 7,370.57

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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.