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Finding the Fourth Proportional to 8,031, 11,095 and 6,419.40

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Solution

The fourth proportional to 8,031, 11,095 and 6,419.40 is: 8,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031 : 11,095 = 6,419.40 : x
  2. Step 2: Convert to fraction form
    8,031/11,095 = 6,419.40/x
  3. Step 3: Cross multiply
    8,031x = 11,095 × 6,419.40
  4. Step 4: Simplify right side
    8,031x = 71,223,243
  5. Step 5: Solve for x
    x = 71,223,243/8,031
  6. Step 6: Final answer
    x = 8,868.54

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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.