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Finding the Fourth Proportional to 7,182.81, 9,911.16 and 4,531.68

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Solution

The fourth proportional to 7,182.81, 9,911.16 and 4,531.68 is: 6,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.81 : 9,911.16 = 4,531.68 : x
  2. Step 2: Convert to fraction form
    7,182.81/9,911.16 = 4,531.68/x
  3. Step 3: Cross multiply
    7,182.81x = 9,911.16 × 4,531.68
  4. Step 4: Simplify right side
    7,182.81x = 44,914,205.55
  5. Step 5: Solve for x
    x = 44,914,205.55/7,182.81
  6. Step 6: Final answer
    x = 6,253.01

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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.