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Finding the Fourth Proportional to 5,706.63, 7,875.32 and 3,188.85

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Solution

The fourth proportional to 5,706.63, 7,875.32 and 3,188.85 is: 4,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.63 : 7,875.32 = 3,188.85 : x
  2. Step 2: Convert to fraction form
    5,706.63/7,875.32 = 3,188.85/x
  3. Step 3: Cross multiply
    5,706.63x = 7,875.32 × 3,188.85
  4. Step 4: Simplify right side
    5,706.63x = 25,113,214.18
  5. Step 5: Solve for x
    x = 25,113,214.18/5,706.63
  6. Step 6: Final answer
    x = 4,400.71

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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.