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Finding the Fourth Proportional to 6,370.72, 8,788.08 and 4,012

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Solution

The fourth proportional to 6,370.72, 8,788.08 and 4,012 is: 5,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.72 : 8,788.08 = 4,012 : x
  2. Step 2: Convert to fraction form
    6,370.72/8,788.08 = 4,012/x
  3. Step 3: Cross multiply
    6,370.72x = 8,788.08 × 4,012
  4. Step 4: Simplify right side
    6,370.72x = 35,257,776.96
  5. Step 5: Solve for x
    x = 35,257,776.96/6,370.72
  6. Step 6: Final answer
    x = 5,534.35

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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.