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Finding the Fourth Proportional to 7,763.34, 11,650.65 and 5,820.78

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Solution

The fourth proportional to 7,763.34, 11,650.65 and 5,820.78 is: 8,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.34 : 11,650.65 = 5,820.78 : x
  2. Step 2: Convert to fraction form
    7,763.34/11,650.65 = 5,820.78/x
  3. Step 3: Cross multiply
    7,763.34x = 11,650.65 × 5,820.78
  4. Step 4: Simplify right side
    7,763.34x = 67,815,870.51
  5. Step 5: Solve for x
    x = 67,815,870.51/7,763.34
  6. Step 6: Final answer
    x = 8,735.40

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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.