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Finding the Fourth Proportional to 8,711.13, 13,071.31 and 3,784.23

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Solution

The fourth proportional to 8,711.13, 13,071.31 and 3,784.23 is: 5,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.13 : 13,071.31 = 3,784.23 : x
  2. Step 2: Convert to fraction form
    8,711.13/13,071.31 = 3,784.23/x
  3. Step 3: Cross multiply
    8,711.13x = 13,071.31 × 3,784.23
  4. Step 4: Simplify right side
    8,711.13x = 49,464,868.33
  5. Step 5: Solve for x
    x = 49,464,868.33/8,711.13
  6. Step 6: Final answer
    x = 5,678.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.