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Finding the Fourth Proportional to 9,407.73, 12,982.47 and 5,215.98

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Solution

The fourth proportional to 9,407.73, 12,982.47 and 5,215.98 is: 7,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.73 : 12,982.47 = 5,215.98 : x
  2. Step 2: Convert to fraction form
    9,407.73/12,982.47 = 5,215.98/x
  3. Step 3: Cross multiply
    9,407.73x = 12,982.47 × 5,215.98
  4. Step 4: Simplify right side
    9,407.73x = 67,716,303.87
  5. Step 5: Solve for x
    x = 67,716,303.87/9,407.73
  6. Step 6: Final answer
    x = 7,197.94

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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.