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Finding the Fourth Proportional to 9,973.60, 13,750.79 and 8,174.45

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Solution

The fourth proportional to 9,973.60, 13,750.79 and 8,174.45 is: 11,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.60 : 13,750.79 = 8,174.45 : x
  2. Step 2: Convert to fraction form
    9,973.60/13,750.79 = 8,174.45/x
  3. Step 3: Cross multiply
    9,973.60x = 13,750.79 × 8,174.45
  4. Step 4: Simplify right side
    9,973.60x = 112,405,138.82
  5. Step 5: Solve for x
    x = 112,405,138.82/9,973.60
  6. Step 6: Final answer
    x = 11,270.27

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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.