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Finding the Fourth Proportional to 9,170.50, 12,658.18 and 5,858.50

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Solution

The fourth proportional to 9,170.50, 12,658.18 and 5,858.50 is: 8,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.50 : 12,658.18 = 5,858.50 : x
  2. Step 2: Convert to fraction form
    9,170.50/12,658.18 = 5,858.50/x
  3. Step 3: Cross multiply
    9,170.50x = 12,658.18 × 5,858.50
  4. Step 4: Simplify right side
    9,170.50x = 74,157,947.53
  5. Step 5: Solve for x
    x = 74,157,947.53/9,170.50
  6. Step 6: Final answer
    x = 8,086.58

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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.