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Finding the Fourth Proportional to 3,085.13, 4,627.71 and 776.63

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Solution

The fourth proportional to 3,085.13, 4,627.71 and 776.63 is: 1,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.13 : 4,627.71 = 776.63 : x
  2. Step 2: Convert to fraction form
    3,085.13/4,627.71 = 776.63/x
  3. Step 3: Cross multiply
    3,085.13x = 4,627.71 × 776.63
  4. Step 4: Simplify right side
    3,085.13x = 3,593,995.28
  5. Step 5: Solve for x
    x = 3,593,995.28/3,085.13
  6. Step 6: Final answer
    x = 1,164.94

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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.