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Finding the Fourth Proportional to 8,614, 11,885.40 and 5,077.36

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Solution

The fourth proportional to 8,614, 11,885.40 and 5,077.36 is: 7,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614 : 11,885.40 = 5,077.36 : x
  2. Step 2: Convert to fraction form
    8,614/11,885.40 = 5,077.36/x
  3. Step 3: Cross multiply
    8,614x = 11,885.40 × 5,077.36
  4. Step 4: Simplify right side
    8,614x = 60,346,454.54
  5. Step 5: Solve for x
    x = 60,346,454.54/8,614
  6. Step 6: Final answer
    x = 7,005.63

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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.