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Finding the Fourth Proportional to 7,881.84, 11,761.74 and 7,009.20

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Solution

The fourth proportional to 7,881.84, 11,761.74 and 7,009.20 is: 10,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.84 : 11,761.74 = 7,009.20 : x
  2. Step 2: Convert to fraction form
    7,881.84/11,761.74 = 7,009.20/x
  3. Step 3: Cross multiply
    7,881.84x = 11,761.74 × 7,009.20
  4. Step 4: Simplify right side
    7,881.84x = 82,440,388.01
  5. Step 5: Solve for x
    x = 82,440,388.01/7,881.84
  6. Step 6: Final answer
    x = 10,459.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.