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Finding the Fourth Proportional to 3,085, 4,627.16 and 776.50

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Solution

The fourth proportional to 3,085, 4,627.16 and 776.50 is: 1,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085 : 4,627.16 = 776.50 : x
  2. Step 2: Convert to fraction form
    3,085/4,627.16 = 776.50/x
  3. Step 3: Cross multiply
    3,085x = 4,627.16 × 776.50
  4. Step 4: Simplify right side
    3,085x = 3,592,989.74
  5. Step 5: Solve for x
    x = 3,592,989.74/3,085
  6. Step 6: Final answer
    x = 1,164.66

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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.