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Finding the Fourth Proportional to 7,862.83, 11,732.93 and 7,164.19

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Solution

The fourth proportional to 7,862.83, 11,732.93 and 7,164.19 is: 10,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.83 : 11,732.93 = 7,164.19 : x
  2. Step 2: Convert to fraction form
    7,862.83/11,732.93 = 7,164.19/x
  3. Step 3: Cross multiply
    7,862.83x = 11,732.93 × 7,164.19
  4. Step 4: Simplify right side
    7,862.83x = 84,056,939.78
  5. Step 5: Solve for x
    x = 84,056,939.78/7,862.83
  6. Step 6: Final answer
    x = 10,690.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.