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Finding the Fourth Proportional to 8,385.75, 11,572.34 and 4,659.75

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Solution

The fourth proportional to 8,385.75, 11,572.34 and 4,659.75 is: 6,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.75 : 11,572.34 = 4,659.75 : x
  2. Step 2: Convert to fraction form
    8,385.75/11,572.34 = 4,659.75/x
  3. Step 3: Cross multiply
    8,385.75x = 11,572.34 × 4,659.75
  4. Step 4: Simplify right side
    8,385.75x = 53,924,188.02
  5. Step 5: Solve for x
    x = 53,924,188.02/8,385.75
  6. Step 6: Final answer
    x = 6,430.46

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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.