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Finding the Fourth Proportional to 8,411.76, 11,609.80 and 5,579.20

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Solution

The fourth proportional to 8,411.76, 11,609.80 and 5,579.20 is: 7,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.76 : 11,609.80 = 5,579.20 : x
  2. Step 2: Convert to fraction form
    8,411.76/11,609.80 = 5,579.20/x
  3. Step 3: Cross multiply
    8,411.76x = 11,609.80 × 5,579.20
  4. Step 4: Simplify right side
    8,411.76x = 64,773,396.16
  5. Step 5: Solve for x
    x = 64,773,396.16/8,411.76
  6. Step 6: Final answer
    x = 7,700.34

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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.