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Finding the Fourth Proportional to 3,146.03, 4,719.29 and 837.47

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Solution

The fourth proportional to 3,146.03, 4,719.29 and 837.47 is: 1,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.03 : 4,719.29 = 837.47 : x
  2. Step 2: Convert to fraction form
    3,146.03/4,719.29 = 837.47/x
  3. Step 3: Cross multiply
    3,146.03x = 4,719.29 × 837.47
  4. Step 4: Simplify right side
    3,146.03x = 3,952,263.80
  5. Step 5: Solve for x
    x = 3,952,263.80/3,146.03
  6. Step 6: Final answer
    x = 1,256.27

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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.