Home / 5,200.31-7,178.13-4,140.02

Finding the Fourth Proportional to 5,200.31, 7,178.13 and 4,140.02

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Solution

The fourth proportional to 5,200.31, 7,178.13 and 4,140.02 is: 5,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.31 : 7,178.13 = 4,140.02 : x
  2. Step 2: Convert to fraction form
    5,200.31/7,178.13 = 4,140.02/x
  3. Step 3: Cross multiply
    5,200.31x = 7,178.13 × 4,140.02
  4. Step 4: Simplify right side
    5,200.31x = 29,717,601.76
  5. Step 5: Solve for x
    x = 29,717,601.76/5,200.31
  6. Step 6: Final answer
    x = 5,714.58

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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.