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Finding the Fourth Proportional to 7,808.47, 11,707.21 and 2,877.46

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Solution

The fourth proportional to 7,808.47, 11,707.21 and 2,877.46 is: 4,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.47 : 11,707.21 = 2,877.46 : x
  2. Step 2: Convert to fraction form
    7,808.47/11,707.21 = 2,877.46/x
  3. Step 3: Cross multiply
    7,808.47x = 11,707.21 × 2,877.46
  4. Step 4: Simplify right side
    7,808.47x = 33,687,028.49
  5. Step 5: Solve for x
    x = 33,687,028.49/7,808.47
  6. Step 6: Final answer
    x = 4,314.17

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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.