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Finding the Fourth Proportional to 9,920.61, 13,702.47 and 7,227.56

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Solution

The fourth proportional to 9,920.61, 13,702.47 and 7,227.56 is: 9,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.61 : 13,702.47 = 7,227.56 : x
  2. Step 2: Convert to fraction form
    9,920.61/13,702.47 = 7,227.56/x
  3. Step 3: Cross multiply
    9,920.61x = 13,702.47 × 7,227.56
  4. Step 4: Simplify right side
    9,920.61x = 99,035,431.23
  5. Step 5: Solve for x
    x = 99,035,431.23/9,920.61
  6. Step 6: Final answer
    x = 9,982.80

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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.