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Finding the Fourth Proportional to 5,657.76, 8,487.74 and 1,709.34

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Solution

The fourth proportional to 5,657.76, 8,487.74 and 1,709.34 is: 2,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.76 : 8,487.74 = 1,709.34 : x
  2. Step 2: Convert to fraction form
    5,657.76/8,487.74 = 1,709.34/x
  3. Step 3: Cross multiply
    5,657.76x = 8,487.74 × 1,709.34
  4. Step 4: Simplify right side
    5,657.76x = 14,508,433.49
  5. Step 5: Solve for x
    x = 14,508,433.49/5,657.76
  6. Step 6: Final answer
    x = 2,564.34

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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.