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Finding the Fourth Proportional to 8,782.92, 13,224.15 and 7,749.72

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Solution

The fourth proportional to 8,782.92, 13,224.15 and 7,749.72 is: 11,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.92 : 13,224.15 = 7,749.72 : x
  2. Step 2: Convert to fraction form
    8,782.92/13,224.15 = 7,749.72/x
  3. Step 3: Cross multiply
    8,782.92x = 13,224.15 × 7,749.72
  4. Step 4: Simplify right side
    8,782.92x = 102,483,459.74
  5. Step 5: Solve for x
    x = 102,483,459.74/8,782.92
  6. Step 6: Final answer
    x = 11,668.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.