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Finding the Fourth Proportional to 3,146.16, 4,719.24 and 837.84

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Solution

The fourth proportional to 3,146.16, 4,719.24 and 837.84 is: 1,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.16 : 4,719.24 = 837.84 : x
  2. Step 2: Convert to fraction form
    3,146.16/4,719.24 = 837.84/x
  3. Step 3: Cross multiply
    3,146.16x = 4,719.24 × 837.84
  4. Step 4: Simplify right side
    3,146.16x = 3,953,968.04
  5. Step 5: Solve for x
    x = 3,953,968.04/3,146.16
  6. Step 6: Final answer
    x = 1,256.76

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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.