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Finding the Fourth Proportional to 8,017.90, 11,071.74 and 5,038.90

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Solution

The fourth proportional to 8,017.90, 11,071.74 and 5,038.90 is: 6,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.90 : 11,071.74 = 5,038.90 : x
  2. Step 2: Convert to fraction form
    8,017.90/11,071.74 = 5,038.90/x
  3. Step 3: Cross multiply
    8,017.90x = 11,071.74 × 5,038.90
  4. Step 4: Simplify right side
    8,017.90x = 55,789,390.69
  5. Step 5: Solve for x
    x = 55,789,390.69/8,017.90
  6. Step 6: Final answer
    x = 6,958.11

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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.