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Finding the Fourth Proportional to 10,055.90, 13,893.83 and 7,947.58

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Solution

The fourth proportional to 10,055.90, 13,893.83 and 7,947.58 is: 10,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.90 : 13,893.83 = 7,947.58 : x
  2. Step 2: Convert to fraction form
    10,055.90/13,893.83 = 7,947.58/x
  3. Step 3: Cross multiply
    10,055.90x = 13,893.83 × 7,947.58
  4. Step 4: Simplify right side
    10,055.90x = 110,422,325.43
  5. Step 5: Solve for x
    x = 110,422,325.43/10,055.90
  6. Step 6: Final answer
    x = 10,980.85

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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.