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Finding the Fourth Proportional to 9,263.82, 12,784.95 and 5,072.70

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Solution

The fourth proportional to 9,263.82, 12,784.95 and 5,072.70 is: 7,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.82 : 12,784.95 = 5,072.70 : x
  2. Step 2: Convert to fraction form
    9,263.82/12,784.95 = 5,072.70/x
  3. Step 3: Cross multiply
    9,263.82x = 12,784.95 × 5,072.70
  4. Step 4: Simplify right side
    9,263.82x = 64,854,215.87
  5. Step 5: Solve for x
    x = 64,854,215.87/9,263.82
  6. Step 6: Final answer
    x = 7,000.81

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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.