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Finding the Fourth Proportional to 9,143.76, 13,703.40 and 7,906.08

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Solution

The fourth proportional to 9,143.76, 13,703.40 and 7,906.08 is: 11,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.76 : 13,703.40 = 7,906.08 : x
  2. Step 2: Convert to fraction form
    9,143.76/13,703.40 = 7,906.08/x
  3. Step 3: Cross multiply
    9,143.76x = 13,703.40 × 7,906.08
  4. Step 4: Simplify right side
    9,143.76x = 108,340,176.67
  5. Step 5: Solve for x
    x = 108,340,176.67/9,143.76
  6. Step 6: Final answer
    x = 11,848.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.