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Finding the Fourth Proportional to 5,714.28, 7,885.32 and 3,356.28

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Solution

The fourth proportional to 5,714.28, 7,885.32 and 3,356.28 is: 4,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.28 : 7,885.32 = 3,356.28 : x
  2. Step 2: Convert to fraction form
    5,714.28/7,885.32 = 3,356.28/x
  3. Step 3: Cross multiply
    5,714.28x = 7,885.32 × 3,356.28
  4. Step 4: Simplify right side
    5,714.28x = 26,465,341.81
  5. Step 5: Solve for x
    x = 26,465,341.81/5,714.28
  6. Step 6: Final answer
    x = 4,631.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.