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Finding the Fourth Proportional to 9,876.67, 13,629.78 and 7,360.94

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Solution

The fourth proportional to 9,876.67, 13,629.78 and 7,360.94 is: 10,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.67 : 13,629.78 = 7,360.94 : x
  2. Step 2: Convert to fraction form
    9,876.67/13,629.78 = 7,360.94/x
  3. Step 3: Cross multiply
    9,876.67x = 13,629.78 × 7,360.94
  4. Step 4: Simplify right side
    9,876.67x = 100,328,026.87
  5. Step 5: Solve for x
    x = 100,328,026.87/9,876.67
  6. Step 6: Final answer
    x = 10,158.08

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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.