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Finding the Fourth Proportional to 5,655.60, 8,489.04 and 4,627.80

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Solution

The fourth proportional to 5,655.60, 8,489.04 and 4,627.80 is: 6,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.60 : 8,489.04 = 4,627.80 : x
  2. Step 2: Convert to fraction form
    5,655.60/8,489.04 = 4,627.80/x
  3. Step 3: Cross multiply
    5,655.60x = 8,489.04 × 4,627.80
  4. Step 4: Simplify right side
    5,655.60x = 39,285,579.31
  5. Step 5: Solve for x
    x = 39,285,579.31/5,655.60
  6. Step 6: Final answer
    x = 6,946.32

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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.