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Finding the Fourth Proportional to 7,164.54, 9,888.30 and 4,182.12

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Solution

The fourth proportional to 7,164.54, 9,888.30 and 4,182.12 is: 5,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.54 : 9,888.30 = 4,182.12 : x
  2. Step 2: Convert to fraction form
    7,164.54/9,888.30 = 4,182.12/x
  3. Step 3: Cross multiply
    7,164.54x = 9,888.30 × 4,182.12
  4. Step 4: Simplify right side
    7,164.54x = 41,354,057.20
  5. Step 5: Solve for x
    x = 41,354,057.20/7,164.54
  6. Step 6: Final answer
    x = 5,772.05

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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.