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Finding the Fourth Proportional to 3,076.47, 4,615.47 and 885.20

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Solution

The fourth proportional to 3,076.47, 4,615.47 and 885.20 is: 1,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.47 : 4,615.47 = 885.20 : x
  2. Step 2: Convert to fraction form
    3,076.47/4,615.47 = 885.20/x
  3. Step 3: Cross multiply
    3,076.47x = 4,615.47 × 885.20
  4. Step 4: Simplify right side
    3,076.47x = 4,085,614.04
  5. Step 5: Solve for x
    x = 4,085,614.04/3,076.47
  6. Step 6: Final answer
    x = 1,328.02

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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.