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Finding the Fourth Proportional to 9,311.70, 12,849.93 and 5,333.70

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Solution

The fourth proportional to 9,311.70, 12,849.93 and 5,333.70 is: 7,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.70 : 12,849.93 = 5,333.70 : x
  2. Step 2: Convert to fraction form
    9,311.70/12,849.93 = 5,333.70/x
  3. Step 3: Cross multiply
    9,311.70x = 12,849.93 × 5,333.70
  4. Step 4: Simplify right side
    9,311.70x = 68,537,671.64
  5. Step 5: Solve for x
    x = 68,537,671.64/9,311.70
  6. Step 6: Final answer
    x = 7,360.38

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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.